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Finding the Fourth Proportional to 48,969.60, 73,465.20 and 15,691.20

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Solution

The fourth proportional to 48,969.60, 73,465.20 and 15,691.20 is: 23,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,969.60 : 73,465.20 = 15,691.20 : x
  2. Step 2: Convert to fraction form
    48,969.60/73,465.20 = 15,691.20/x
  3. Step 3: Cross multiply
    48,969.60x = 73,465.20 × 15,691.20
  4. Step 4: Simplify right side
    48,969.60x = 1,152,757,146.24
  5. Step 5: Solve for x
    x = 1,152,757,146.24/48,969.60
  6. Step 6: Final answer
    x = 23,540.26

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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.