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Finding the Fourth Proportional to 38,713.88, 53,421.36 and 21,714.20

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Solution

The fourth proportional to 38,713.88, 53,421.36 and 21,714.20 is: 29,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,713.88 : 53,421.36 = 21,714.20 : x
  2. Step 2: Convert to fraction form
    38,713.88/53,421.36 = 21,714.20/x
  3. Step 3: Cross multiply
    38,713.88x = 53,421.36 × 21,714.20
  4. Step 4: Simplify right side
    38,713.88x = 1,160,002,095.31
  5. Step 5: Solve for x
    x = 1,160,002,095.31/38,713.88
  6. Step 6: Final answer
    x = 29,963.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.