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Finding the Fourth Proportional to 78,869.43, 108,785.70 and 47,013.75

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Solution

The fourth proportional to 78,869.43, 108,785.70 and 47,013.75 is: 64,846.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,869.43 : 108,785.70 = 47,013.75 : x
  2. Step 2: Convert to fraction form
    78,869.43/108,785.70 = 47,013.75/x
  3. Step 3: Cross multiply
    78,869.43x = 108,785.70 × 47,013.75
  4. Step 4: Simplify right side
    78,869.43x = 5,114,423,703.38
  5. Step 5: Solve for x
    x = 5,114,423,703.38/78,869.43
  6. Step 6: Final answer
    x = 64,846.72

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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.