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Finding the Fourth Proportional to 83,229.50, 114,856.71 and 53,473.34

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Solution

The fourth proportional to 83,229.50, 114,856.71 and 53,473.34 is: 73,793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,229.50 : 114,856.71 = 53,473.34 : x
  2. Step 2: Convert to fraction form
    83,229.50/114,856.71 = 53,473.34/x
  3. Step 3: Cross multiply
    83,229.50x = 114,856.71 × 53,473.34
  4. Step 4: Simplify right side
    83,229.50x = 6,141,771,905.11
  5. Step 5: Solve for x
    x = 6,141,771,905.11/83,229.50
  6. Step 6: Final answer
    x = 73,793.21

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