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Finding the Fourth Proportional to 32,435.46, 48,668.31 and 31,911.30

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Solution

The fourth proportional to 32,435.46, 48,668.31 and 31,911.30 is: 47,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,435.46 : 48,668.31 = 31,911.30 : x
  2. Step 2: Convert to fraction form
    32,435.46/48,668.31 = 31,911.30/x
  3. Step 3: Cross multiply
    32,435.46x = 48,668.31 × 31,911.30
  4. Step 4: Simplify right side
    32,435.46x = 1,553,069,040.90
  5. Step 5: Solve for x
    x = 1,553,069,040.90/32,435.46
  6. Step 6: Final answer
    x = 47,881.83

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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.