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Finding the Fourth Proportional to 90,344.32, 135,538 and 31,180.50

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Solution

The fourth proportional to 90,344.32, 135,538 and 31,180.50 is: 46,778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,344.32 : 135,538 = 31,180.50 : x
  2. Step 2: Convert to fraction form
    90,344.32/135,538 = 31,180.50/x
  3. Step 3: Cross multiply
    90,344.32x = 135,538 × 31,180.50
  4. Step 4: Simplify right side
    90,344.32x = 4,226,142,609
  5. Step 5: Solve for x
    x = 4,226,142,609/90,344.32
  6. Step 6: Final answer
    x = 46,778.18

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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.