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Finding the Fourth Proportional to 31,521.52, 47,284.92 and 8,148.40

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Solution

The fourth proportional to 31,521.52, 47,284.92 and 8,148.40 is: 12,223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,521.52 : 47,284.92 = 8,148.40 : x
  2. Step 2: Convert to fraction form
    31,521.52/47,284.92 = 8,148.40/x
  3. Step 3: Cross multiply
    31,521.52x = 47,284.92 × 8,148.40
  4. Step 4: Simplify right side
    31,521.52x = 385,296,442.13
  5. Step 5: Solve for x
    x = 385,296,442.13/31,521.52
  6. Step 6: Final answer
    x = 12,223.28

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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.