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Finding the Fourth Proportional to 31,514.54, 47,259.18 and 15,714.27

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Solution

The fourth proportional to 31,514.54, 47,259.18 and 15,714.27 is: 23,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,514.54 : 47,259.18 = 15,714.27 : x
  2. Step 2: Convert to fraction form
    31,514.54/47,259.18 = 15,714.27/x
  3. Step 3: Cross multiply
    31,514.54x = 47,259.18 × 15,714.27
  4. Step 4: Simplify right side
    31,514.54x = 742,643,514.50
  5. Step 5: Solve for x
    x = 742,643,514.50/31,514.54
  6. Step 6: Final answer
    x = 23,565.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.