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Finding the Fourth Proportional to 53,164.82, 79,762.82 and 15,725.88

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Solution

The fourth proportional to 53,164.82, 79,762.82 and 15,725.88 is: 23,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,164.82 : 79,762.82 = 15,725.88 : x
  2. Step 2: Convert to fraction form
    53,164.82/79,762.82 = 15,725.88/x
  3. Step 3: Cross multiply
    53,164.82x = 79,762.82 × 15,725.88
  4. Step 4: Simplify right side
    53,164.82x = 1,254,340,457.15
  5. Step 5: Solve for x
    x = 1,254,340,457.15/53,164.82
  6. Step 6: Final answer
    x = 23,593.43

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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.