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Finding the Fourth Proportional to 51,463.97, 71,006.79 and 29,654.88

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Solution

The fourth proportional to 51,463.97, 71,006.79 and 29,654.88 is: 40,915.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,463.97 : 71,006.79 = 29,654.88 : x
  2. Step 2: Convert to fraction form
    51,463.97/71,006.79 = 29,654.88/x
  3. Step 3: Cross multiply
    51,463.97x = 71,006.79 × 29,654.88
  4. Step 4: Simplify right side
    51,463.97x = 2,105,698,030.47
  5. Step 5: Solve for x
    x = 2,105,698,030.47/51,463.97
  6. Step 6: Final answer
    x = 40,915.96

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1.5x scale

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.