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Finding the Fourth Proportional to 62,709.12, 86,538 and 34,414.08

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Solution

The fourth proportional to 62,709.12, 86,538 and 34,414.08 is: 47,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,709.12 : 86,538 = 34,414.08 : x
  2. Step 2: Convert to fraction form
    62,709.12/86,538 = 34,414.08/x
  3. Step 3: Cross multiply
    62,709.12x = 86,538 × 34,414.08
  4. Step 4: Simplify right side
    62,709.12x = 2,978,125,655.04
  5. Step 5: Solve for x
    x = 2,978,125,655.04/62,709.12
  6. Step 6: Final answer
    x = 47,491.11

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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.