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Finding the Fourth Proportional to 32,403, 44,716.14 and 17,499

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Solution

The fourth proportional to 32,403, 44,716.14 and 17,499 is: 24,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,403 : 44,716.14 = 17,499 : x
  2. Step 2: Convert to fraction form
    32,403/44,716.14 = 17,499/x
  3. Step 3: Cross multiply
    32,403x = 44,716.14 × 17,499
  4. Step 4: Simplify right side
    32,403x = 782,487,733.86
  5. Step 5: Solve for x
    x = 782,487,733.86/32,403
  6. Step 6: Final answer
    x = 24,148.62

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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.