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Finding the Fourth Proportional to 31,677.44, 47,484.80 and 15,008

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Solution

The fourth proportional to 31,677.44, 47,484.80 and 15,008 is: 22,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,677.44 : 47,484.80 = 15,008 : x
  2. Step 2: Convert to fraction form
    31,677.44/47,484.80 = 15,008/x
  3. Step 3: Cross multiply
    31,677.44x = 47,484.80 × 15,008
  4. Step 4: Simplify right side
    31,677.44x = 712,651,878.40
  5. Step 5: Solve for x
    x = 712,651,878.40/31,677.44
  6. Step 6: Final answer
    x = 22,497.14

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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.