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Finding the Fourth Proportional to 32,159.70, 48,181.14 and 31,459.86

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Solution

The fourth proportional to 32,159.70, 48,181.14 and 31,459.86 is: 47,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,159.70 : 48,181.14 = 31,459.86 : x
  2. Step 2: Convert to fraction form
    32,159.70/48,181.14 = 31,459.86/x
  3. Step 3: Cross multiply
    32,159.70x = 48,181.14 × 31,459.86
  4. Step 4: Simplify right side
    32,159.70x = 1,515,771,919.04
  5. Step 5: Solve for x
    x = 1,515,771,919.04/32,159.70
  6. Step 6: Final answer
    x = 47,132.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.