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Finding the Fourth Proportional to 99,776.74, 149,689.95 and 29,654.14

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Solution

The fourth proportional to 99,776.74, 149,689.95 and 29,654.14 is: 44,488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,776.74 : 149,689.95 = 29,654.14 : x
  2. Step 2: Convert to fraction form
    99,776.74/149,689.95 = 29,654.14/x
  3. Step 3: Cross multiply
    99,776.74x = 149,689.95 × 29,654.14
  4. Step 4: Simplify right side
    99,776.74x = 4,438,926,733.89
  5. Step 5: Solve for x
    x = 4,438,926,733.89/99,776.74
  6. Step 6: Final answer
    x = 44,488.59

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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.