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Finding the Fourth Proportional to 31,031.31, 42,823.31 and 16,884.17

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Solution

The fourth proportional to 31,031.31, 42,823.31 and 16,884.17 is: 23,300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,031.31 : 42,823.31 = 16,884.17 : x
  2. Step 2: Convert to fraction form
    31,031.31/42,823.31 = 16,884.17/x
  3. Step 3: Cross multiply
    31,031.31x = 42,823.31 × 16,884.17
  4. Step 4: Simplify right side
    31,031.31x = 723,036,046.00
  5. Step 5: Solve for x
    x = 723,036,046.00/31,031.31
  6. Step 6: Final answer
    x = 23,300.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.