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Finding the Fourth Proportional to 53,711.80, 80,471.70 and 25,948.60

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Solution

The fourth proportional to 53,711.80, 80,471.70 and 25,948.60 is: 38,876.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,711.80 : 80,471.70 = 25,948.60 : x
  2. Step 2: Convert to fraction form
    53,711.80/80,471.70 = 25,948.60/x
  3. Step 3: Cross multiply
    53,711.80x = 80,471.70 × 25,948.60
  4. Step 4: Simplify right side
    53,711.80x = 2,088,127,954.62
  5. Step 5: Solve for x
    x = 2,088,127,954.62/53,711.80
  6. Step 6: Final answer
    x = 38,876.52

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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.