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Finding the Fourth Proportional to 31,657.68, 47,434.68 and 22,851.36

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Solution

The fourth proportional to 31,657.68, 47,434.68 and 22,851.36 is: 34,239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,657.68 : 47,434.68 = 22,851.36 : x
  2. Step 2: Convert to fraction form
    31,657.68/47,434.68 = 22,851.36/x
  3. Step 3: Cross multiply
    31,657.68x = 47,434.68 × 22,851.36
  4. Step 4: Simplify right side
    31,657.68x = 1,083,946,949.16
  5. Step 5: Solve for x
    x = 1,083,946,949.16/31,657.68
  6. Step 6: Final answer
    x = 34,239.62

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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.