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Finding the Fourth Proportional to 83,114.75, 114,669.89 and 47,295.79

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Solution

The fourth proportional to 83,114.75, 114,669.89 and 47,295.79 is: 65,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,114.75 : 114,669.89 = 47,295.79 : x
  2. Step 2: Convert to fraction form
    83,114.75/114,669.89 = 47,295.79/x
  3. Step 3: Cross multiply
    83,114.75x = 114,669.89 × 47,295.79
  4. Step 4: Simplify right side
    83,114.75x = 5,423,403,036.76
  5. Step 5: Solve for x
    x = 5,423,403,036.76/83,114.75
  6. Step 6: Final answer
    x = 65,251.99

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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.