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Finding the Fourth Proportional to 48,471.20, 72,649.20 and 25,085.60

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Solution

The fourth proportional to 48,471.20, 72,649.20 and 25,085.60 is: 37,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,471.20 : 72,649.20 = 25,085.60 : x
  2. Step 2: Convert to fraction form
    48,471.20/72,649.20 = 25,085.60/x
  3. Step 3: Cross multiply
    48,471.20x = 72,649.20 × 25,085.60
  4. Step 4: Simplify right side
    48,471.20x = 1,822,448,771.52
  5. Step 5: Solve for x
    x = 1,822,448,771.52/48,471.20
  6. Step 6: Final answer
    x = 37,598.59

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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.