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Finding the Fourth Proportional to 96,771.32, 145,157 and 30,217.15

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Solution

The fourth proportional to 96,771.32, 145,157 and 30,217.15 is: 45,325.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,771.32 : 145,157 = 30,217.15 : x
  2. Step 2: Convert to fraction form
    96,771.32/145,157 = 30,217.15/x
  3. Step 3: Cross multiply
    96,771.32x = 145,157 × 30,217.15
  4. Step 4: Simplify right side
    96,771.32x = 4,386,230,842.55
  5. Step 5: Solve for x
    x = 4,386,230,842.55/96,771.32
  6. Step 6: Final answer
    x = 45,325.73

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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.