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Finding the Fourth Proportional to 31,807.54, 47,711.33 and 11,031.06

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Solution

The fourth proportional to 31,807.54, 47,711.33 and 11,031.06 is: 16,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.54 : 47,711.33 = 11,031.06 : x
  2. Step 2: Convert to fraction form
    31,807.54/47,711.33 = 11,031.06/x
  3. Step 3: Cross multiply
    31,807.54x = 47,711.33 × 11,031.06
  4. Step 4: Simplify right side
    31,807.54x = 526,306,543.91
  5. Step 5: Solve for x
    x = 526,306,543.91/31,807.54
  6. Step 6: Final answer
    x = 16,546.60

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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.