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Finding the Fourth Proportional to 81,876.15, 112,981.03 and 46,065.38

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Solution

The fourth proportional to 81,876.15, 112,981.03 and 46,065.38 is: 63,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,876.15 : 112,981.03 = 46,065.38 : x
  2. Step 2: Convert to fraction form
    81,876.15/112,981.03 = 46,065.38/x
  3. Step 3: Cross multiply
    81,876.15x = 112,981.03 × 46,065.38
  4. Step 4: Simplify right side
    81,876.15x = 5,204,513,399.67
  5. Step 5: Solve for x
    x = 5,204,513,399.67/81,876.15
  6. Step 6: Final answer
    x = 63,565.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.