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Finding the Fourth Proportional to 48,931.20, 73,396.80 and 25,564.80

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Solution

The fourth proportional to 48,931.20, 73,396.80 and 25,564.80 is: 38,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,931.20 : 73,396.80 = 25,564.80 : x
  2. Step 2: Convert to fraction form
    48,931.20/73,396.80 = 25,564.80/x
  3. Step 3: Cross multiply
    48,931.20x = 73,396.80 × 25,564.80
  4. Step 4: Simplify right side
    48,931.20x = 1,876,374,512.64
  5. Step 5: Solve for x
    x = 1,876,374,512.64/48,931.20
  6. Step 6: Final answer
    x = 38,347.20

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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.