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Finding the Fourth Proportional to 32,044.32, 44,217 and 17,897.76

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Solution

The fourth proportional to 32,044.32, 44,217 and 17,897.76 is: 24,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,044.32 : 44,217 = 17,897.76 : x
  2. Step 2: Convert to fraction form
    32,044.32/44,217 = 17,897.76/x
  3. Step 3: Cross multiply
    32,044.32x = 44,217 × 17,897.76
  4. Step 4: Simplify right side
    32,044.32x = 791,385,253.92
  5. Step 5: Solve for x
    x = 791,385,253.92/32,044.32
  6. Step 6: Final answer
    x = 24,696.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.