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Finding the Fourth Proportional to 83,332.91, 114,996.44 and 47,534.42

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Solution

The fourth proportional to 83,332.91, 114,996.44 and 47,534.42 is: 65,595.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,332.91 : 114,996.44 = 47,534.42 : x
  2. Step 2: Convert to fraction form
    83,332.91/114,996.44 = 47,534.42/x
  3. Step 3: Cross multiply
    83,332.91x = 114,996.44 × 47,534.42
  4. Step 4: Simplify right side
    83,332.91x = 5,466,288,264.81
  5. Step 5: Solve for x
    x = 5,466,288,264.81/83,332.91
  6. Step 6: Final answer
    x = 65,595.80

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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.