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Finding the Fourth Proportional to 32,031.30, 48,287.22 and 29,890.50

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Solution

The fourth proportional to 32,031.30, 48,287.22 and 29,890.50 is: 45,059.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031.30 : 48,287.22 = 29,890.50 : x
  2. Step 2: Convert to fraction form
    32,031.30/48,287.22 = 29,890.50/x
  3. Step 3: Cross multiply
    32,031.30x = 48,287.22 × 29,890.50
  4. Step 4: Simplify right side
    32,031.30x = 1,443,329,149.41
  5. Step 5: Solve for x
    x = 1,443,329,149.41/32,031.30
  6. Step 6: Final answer
    x = 45,059.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.