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Finding the Fourth Proportional to 96,776.73, 145,098.78 and 49,299.90

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Solution

The fourth proportional to 96,776.73, 145,098.78 and 49,299.90 is: 73,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,776.73 : 145,098.78 = 49,299.90 : x
  2. Step 2: Convert to fraction form
    96,776.73/145,098.78 = 49,299.90/x
  3. Step 3: Cross multiply
    96,776.73x = 145,098.78 × 49,299.90
  4. Step 4: Simplify right side
    96,776.73x = 7,153,355,344.12
  5. Step 5: Solve for x
    x = 7,153,355,344.12/96,776.73
  6. Step 6: Final answer
    x = 73,916.07

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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.