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Finding the Fourth Proportional to 81,712.99, 112,766.84 and 45,902.22

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Solution

The fourth proportional to 81,712.99, 112,766.84 and 45,902.22 is: 63,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,712.99 : 112,766.84 = 45,902.22 : x
  2. Step 2: Convert to fraction form
    81,712.99/112,766.84 = 45,902.22/x
  3. Step 3: Cross multiply
    81,712.99x = 112,766.84 × 45,902.22
  4. Step 4: Simplify right side
    81,712.99x = 5,176,248,298.38
  5. Step 5: Solve for x
    x = 5,176,248,298.38/81,712.99
  6. Step 6: Final answer
    x = 63,346.70

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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.