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Finding the Fourth Proportional to 27,978,309.84, 41,985,323.82 and 13,593,534.96

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Solution

The fourth proportional to 27,978,309.84, 41,985,323.82 and 13,593,534.96 is: 20,398,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978,309.84 : 41,985,323.82 = 13,593,534.96 : x
  2. Step 2: Convert to fraction form
    27,978,309.84/41,985,323.82 = 13,593,534.96/x
  3. Step 3: Cross multiply
    27,978,309.84x = 41,985,323.82 × 13,593,534.96
  4. Step 4: Simplify right side
    27,978,309.84x = 570,728,967,154,090.75
  5. Step 5: Solve for x
    x = 570,728,967,154,090.75/27,978,309.84
  6. Step 6: Final answer
    x = 20,398,979.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.