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Finding the Fourth Proportional to 90,497.80, 135,714.18 and 31,317.40

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Solution

The fourth proportional to 90,497.80, 135,714.18 and 31,317.40 is: 46,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,497.80 : 135,714.18 = 31,317.40 : x
  2. Step 2: Convert to fraction form
    90,497.80/135,714.18 = 31,317.40/x
  3. Step 3: Cross multiply
    90,497.80x = 135,714.18 × 31,317.40
  4. Step 4: Simplify right side
    90,497.80x = 4,250,215,260.73
  5. Step 5: Solve for x
    x = 4,250,215,260.73/90,497.80
  6. Step 6: Final answer
    x = 46,964.85

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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.