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Finding the Fourth Proportional to 52,335.48, 72,220.76 and 29,676

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Solution

The fourth proportional to 52,335.48, 72,220.76 and 29,676 is: 40,951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,335.48 : 72,220.76 = 29,676 : x
  2. Step 2: Convert to fraction form
    52,335.48/72,220.76 = 29,676/x
  3. Step 3: Cross multiply
    52,335.48x = 72,220.76 × 29,676
  4. Step 4: Simplify right side
    52,335.48x = 2,143,223,125.38
  5. Step 5: Solve for x
    x = 2,143,223,125.38/52,335.48
  6. Step 6: Final answer
    x = 40,951.63

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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.