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Finding the Fourth Proportional to 52,142.34, 71,951.05 and 32,000.07

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Solution

The fourth proportional to 52,142.34, 71,951.05 and 32,000.07 is: 44,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,142.34 : 71,951.05 = 32,000.07 : x
  2. Step 2: Convert to fraction form
    52,142.34/71,951.05 = 32,000.07/x
  3. Step 3: Cross multiply
    52,142.34x = 71,951.05 × 32,000.07
  4. Step 4: Simplify right side
    52,142.34x = 2,302,438,636.57
  5. Step 5: Solve for x
    x = 2,302,438,636.57/52,142.34
  6. Step 6: Final answer
    x = 44,156.80

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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.