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Finding the Fourth Proportional to 48,138.86, 66,451.85 and 29,282.54

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Solution

The fourth proportional to 48,138.86, 66,451.85 and 29,282.54 is: 40,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,138.86 : 66,451.85 = 29,282.54 : x
  2. Step 2: Convert to fraction form
    48,138.86/66,451.85 = 29,282.54/x
  3. Step 3: Cross multiply
    48,138.86x = 66,451.85 × 29,282.54
  4. Step 4: Simplify right side
    48,138.86x = 1,945,878,477.03
  5. Step 5: Solve for x
    x = 1,945,878,477.03/48,138.86
  6. Step 6: Final answer
    x = 40,422.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.