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Finding the Fourth Proportional to 96,414.77, 144,681.90 and 46,499.87

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Solution

The fourth proportional to 96,414.77, 144,681.90 and 46,499.87 is: 69,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,414.77 : 144,681.90 = 46,499.87 : x
  2. Step 2: Convert to fraction form
    96,414.77/144,681.90 = 46,499.87/x
  3. Step 3: Cross multiply
    96,414.77x = 144,681.90 × 46,499.87
  4. Step 4: Simplify right side
    96,414.77x = 6,727,689,728.68
  5. Step 5: Solve for x
    x = 6,727,689,728.68/96,414.77
  6. Step 6: Final answer
    x = 69,778.62

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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.