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Finding the Fourth Proportional to 31,681.40, 47,498.10 and 16,110.20

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Solution

The fourth proportional to 31,681.40, 47,498.10 and 16,110.20 is: 24,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,681.40 : 47,498.10 = 16,110.20 : x
  2. Step 2: Convert to fraction form
    31,681.40/47,498.10 = 16,110.20/x
  3. Step 3: Cross multiply
    31,681.40x = 47,498.10 × 16,110.20
  4. Step 4: Simplify right side
    31,681.40x = 765,203,890.62
  5. Step 5: Solve for x
    x = 765,203,890.62/31,681.40
  6. Step 6: Final answer
    x = 24,153.10

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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.