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Finding the Fourth Proportional to 95,182.40, 142,708.80 and 36,009.20

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Solution

The fourth proportional to 95,182.40, 142,708.80 and 36,009.20 is: 53,989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,182.40 : 142,708.80 = 36,009.20 : x
  2. Step 2: Convert to fraction form
    95,182.40/142,708.80 = 36,009.20/x
  3. Step 3: Cross multiply
    95,182.40x = 142,708.80 × 36,009.20
  4. Step 4: Simplify right side
    95,182.40x = 5,138,829,720.96
  5. Step 5: Solve for x
    x = 5,138,829,720.96/95,182.40
  6. Step 6: Final answer
    x = 53,989.29

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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.