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Finding the Fourth Proportional to 83,294.02, 114,942.80 and 47,006.91

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Solution

The fourth proportional to 83,294.02, 114,942.80 and 47,006.91 is: 64,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,294.02 : 114,942.80 = 47,006.91 : x
  2. Step 2: Convert to fraction form
    83,294.02/114,942.80 = 47,006.91/x
  3. Step 3: Cross multiply
    83,294.02x = 114,942.80 × 47,006.91
  4. Step 4: Simplify right side
    83,294.02x = 5,403,105,384.57
  5. Step 5: Solve for x
    x = 5,403,105,384.57/83,294.02
  6. Step 6: Final answer
    x = 64,867.87

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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.