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Finding the Fourth Proportional to 47,006.92, 64,869.16 and 25,785.80

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Solution

The fourth proportional to 47,006.92, 64,869.16 and 25,785.80 is: 35,584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,006.92 : 64,869.16 = 25,785.80 : x
  2. Step 2: Convert to fraction form
    47,006.92/64,869.16 = 25,785.80/x
  3. Step 3: Cross multiply
    47,006.92x = 64,869.16 × 25,785.80
  4. Step 4: Simplify right side
    47,006.92x = 1,672,703,185.93
  5. Step 5: Solve for x
    x = 1,672,703,185.93/47,006.92
  6. Step 6: Final answer
    x = 35,584.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.