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Finding the Fourth Proportional to 96,362.87, 144,565.83 and 46,484.82

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Solution

The fourth proportional to 96,362.87, 144,565.83 and 46,484.82 is: 69,737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,362.87 : 144,565.83 = 46,484.82 : x
  2. Step 2: Convert to fraction form
    96,362.87/144,565.83 = 46,484.82/x
  3. Step 3: Cross multiply
    96,362.87x = 144,565.83 × 46,484.82
  4. Step 4: Simplify right side
    96,362.87x = 6,720,116,585.70
  5. Step 5: Solve for x
    x = 6,720,116,585.70/96,362.87
  6. Step 6: Final answer
    x = 69,737.62

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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.