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Finding the Fourth Proportional to 47,525.92, 71,264.88 and 27,810.40

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Solution

The fourth proportional to 47,525.92, 71,264.88 and 27,810.40 is: 41,701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,525.92 : 71,264.88 = 27,810.40 : x
  2. Step 2: Convert to fraction form
    47,525.92/71,264.88 = 27,810.40/x
  3. Step 3: Cross multiply
    47,525.92x = 71,264.88 × 27,810.40
  4. Step 4: Simplify right side
    47,525.92x = 1,981,904,818.75
  5. Step 5: Solve for x
    x = 1,981,904,818.75/47,525.92
  6. Step 6: Final answer
    x = 41,701.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.