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Finding the Fourth Proportional to 40,530.84, 55,958.24 and 27,805.36

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Solution

The fourth proportional to 40,530.84, 55,958.24 and 27,805.36 is: 38,389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,530.84 : 55,958.24 = 27,805.36 : x
  2. Step 2: Convert to fraction form
    40,530.84/55,958.24 = 27,805.36/x
  3. Step 3: Cross multiply
    40,530.84x = 55,958.24 × 27,805.36
  4. Step 4: Simplify right side
    40,530.84x = 1,555,939,008.17
  5. Step 5: Solve for x
    x = 1,555,939,008.17/40,530.84
  6. Step 6: Final answer
    x = 38,389.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.