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Finding the Fourth Proportional to 31,397.32, 47,036.22 and 18,721

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Solution

The fourth proportional to 31,397.32, 47,036.22 and 18,721 is: 28,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,397.32 : 47,036.22 = 18,721 : x
  2. Step 2: Convert to fraction form
    31,397.32/47,036.22 = 18,721/x
  3. Step 3: Cross multiply
    31,397.32x = 47,036.22 × 18,721
  4. Step 4: Simplify right side
    31,397.32x = 880,565,074.62
  5. Step 5: Solve for x
    x = 880,565,074.62/31,397.32
  6. Step 6: Final answer
    x = 28,045.87

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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.