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Finding the Fourth Proportional to 52,644.52, 72,652.90 and 29,680

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Solution

The fourth proportional to 52,644.52, 72,652.90 and 29,680 is: 40,960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,644.52 : 72,652.90 = 29,680 : x
  2. Step 2: Convert to fraction form
    52,644.52/72,652.90 = 29,680/x
  3. Step 3: Cross multiply
    52,644.52x = 72,652.90 × 29,680
  4. Step 4: Simplify right side
    52,644.52x = 2,156,338,072
  5. Step 5: Solve for x
    x = 2,156,338,072/52,644.52
  6. Step 6: Final answer
    x = 40,960.35

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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.