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Finding the Fourth Proportional to 31,514.34, 47,272.80 and 14,663.16

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Solution

The fourth proportional to 31,514.34, 47,272.80 and 14,663.16 is: 21,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,514.34 : 47,272.80 = 14,663.16 : x
  2. Step 2: Convert to fraction form
    31,514.34/47,272.80 = 14,663.16/x
  3. Step 3: Cross multiply
    31,514.34x = 47,272.80 × 14,663.16
  4. Step 4: Simplify right side
    31,514.34x = 693,168,630.05
  5. Step 5: Solve for x
    x = 693,168,630.05/31,514.34
  6. Step 6: Final answer
    x = 21,995.34

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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.