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Finding the Fourth Proportional to 71,654.96, 98,872.80 and 39,823.76

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Solution

The fourth proportional to 71,654.96, 98,872.80 and 39,823.76 is: 54,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,654.96 : 98,872.80 = 39,823.76 : x
  2. Step 2: Convert to fraction form
    71,654.96/98,872.80 = 39,823.76/x
  3. Step 3: Cross multiply
    71,654.96x = 98,872.80 × 39,823.76
  4. Step 4: Simplify right side
    71,654.96x = 3,937,486,657.73
  5. Step 5: Solve for x
    x = 3,937,486,657.73/71,654.96
  6. Step 6: Final answer
    x = 54,950.65

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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.