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Finding the Fourth Proportional to 31,341.72, 47,007.16 and 8,853.96

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Solution

The fourth proportional to 31,341.72, 47,007.16 and 8,853.96 is: 13,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,341.72 : 47,007.16 = 8,853.96 : x
  2. Step 2: Convert to fraction form
    31,341.72/47,007.16 = 8,853.96/x
  3. Step 3: Cross multiply
    31,341.72x = 47,007.16 × 8,853.96
  4. Step 4: Simplify right side
    31,341.72x = 416,199,514.35
  5. Step 5: Solve for x
    x = 416,199,514.35/31,341.72
  6. Step 6: Final answer
    x = 13,279.41

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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.