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Finding the Fourth Proportional to 83,359.70, 115,032.24 and 47,548.38

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Solution

The fourth proportional to 83,359.70, 115,032.24 and 47,548.38 is: 65,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,359.70 : 115,032.24 = 47,548.38 : x
  2. Step 2: Convert to fraction form
    83,359.70/115,032.24 = 47,548.38/x
  3. Step 3: Cross multiply
    83,359.70x = 115,032.24 × 47,548.38
  4. Step 4: Simplify right side
    83,359.70x = 5,469,596,659.77
  5. Step 5: Solve for x
    x = 5,469,596,659.77/83,359.70
  6. Step 6: Final answer
    x = 65,614.40

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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.