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Finding the Fourth Proportional to 55,712.59, 76,888.62 and 31,834.62

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Solution

The fourth proportional to 55,712.59, 76,888.62 and 31,834.62 is: 43,934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,712.59 : 76,888.62 = 31,834.62 : x
  2. Step 2: Convert to fraction form
    55,712.59/76,888.62 = 31,834.62/x
  3. Step 3: Cross multiply
    55,712.59x = 76,888.62 × 31,834.62
  4. Step 4: Simplify right side
    55,712.59x = 2,447,720,000.02
  5. Step 5: Solve for x
    x = 2,447,720,000.02/55,712.59
  6. Step 6: Final answer
    x = 43,934.78

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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.