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Finding the Fourth Proportional to 95,124.56, 142,701.24 and 32,780.24

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Solution

The fourth proportional to 95,124.56, 142,701.24 and 32,780.24 is: 49,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,124.56 : 142,701.24 = 32,780.24 : x
  2. Step 2: Convert to fraction form
    95,124.56/142,701.24 = 32,780.24/x
  3. Step 3: Cross multiply
    95,124.56x = 142,701.24 × 32,780.24
  4. Step 4: Simplify right side
    95,124.56x = 4,677,780,895.50
  5. Step 5: Solve for x
    x = 4,677,780,895.50/95,124.56
  6. Step 6: Final answer
    x = 49,175.32

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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.