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Finding the Fourth Proportional to 32,542.68, 48,842.10 and 15,915

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Solution

The fourth proportional to 32,542.68, 48,842.10 and 15,915 is: 23,886.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,542.68 : 48,842.10 = 15,915 : x
  2. Step 2: Convert to fraction form
    32,542.68/48,842.10 = 15,915/x
  3. Step 3: Cross multiply
    32,542.68x = 48,842.10 × 15,915
  4. Step 4: Simplify right side
    32,542.68x = 777,322,021.50
  5. Step 5: Solve for x
    x = 777,322,021.50/32,542.68
  6. Step 6: Final answer
    x = 23,886.23

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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.