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Finding the Fourth Proportional to 99,494.33, 149,277.13 and 49,569.98

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Solution

The fourth proportional to 99,494.33, 149,277.13 and 49,569.98 is: 74,372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,494.33 : 149,277.13 = 49,569.98 : x
  2. Step 2: Convert to fraction form
    99,494.33/149,277.13 = 49,569.98/x
  3. Step 3: Cross multiply
    99,494.33x = 149,277.13 × 49,569.98
  4. Step 4: Simplify right side
    99,494.33x = 7,399,663,478.25
  5. Step 5: Solve for x
    x = 7,399,663,478.25/99,494.33
  6. Step 6: Final answer
    x = 74,372.72

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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.