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Finding the Fourth Proportional to 39,538.69, 59,308.08 and 16,165.13

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Solution

The fourth proportional to 39,538.69, 59,308.08 and 16,165.13 is: 24,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,538.69 : 59,308.08 = 16,165.13 : x
  2. Step 2: Convert to fraction form
    39,538.69/59,308.08 = 16,165.13/x
  3. Step 3: Cross multiply
    39,538.69x = 59,308.08 × 16,165.13
  4. Step 4: Simplify right side
    39,538.69x = 958,722,688.50
  5. Step 5: Solve for x
    x = 958,722,688.50/39,538.69
  6. Step 6: Final answer
    x = 24,247.71

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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.