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Finding the Fourth Proportional to 92,462.71, 138,709.89 and 29,281.65

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Solution

The fourth proportional to 92,462.71, 138,709.89 and 29,281.65 is: 43,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,462.71 : 138,709.89 = 29,281.65 : x
  2. Step 2: Convert to fraction form
    92,462.71/138,709.89 = 29,281.65/x
  3. Step 3: Cross multiply
    92,462.71x = 138,709.89 × 29,281.65
  4. Step 4: Simplify right side
    92,462.71x = 4,061,654,450.52
  5. Step 5: Solve for x
    x = 4,061,654,450.52/92,462.71
  6. Step 6: Final answer
    x = 43,927.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.