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Finding the Fourth Proportional to 83,234.79, 114,865.70 and 45,511.47

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Solution

The fourth proportional to 83,234.79, 114,865.70 and 45,511.47 is: 62,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,234.79 : 114,865.70 = 45,511.47 : x
  2. Step 2: Convert to fraction form
    83,234.79/114,865.70 = 45,511.47/x
  3. Step 3: Cross multiply
    83,234.79x = 114,865.70 × 45,511.47
  4. Step 4: Simplify right side
    83,234.79x = 5,227,706,632.02
  5. Step 5: Solve for x
    x = 5,227,706,632.02/83,234.79
  6. Step 6: Final answer
    x = 62,806.75

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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.