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Finding the Fourth Proportional to 70,714.88, 97,589.04 and 38,886.24

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Solution

The fourth proportional to 70,714.88, 97,589.04 and 38,886.24 is: 53,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,714.88 : 97,589.04 = 38,886.24 : x
  2. Step 2: Convert to fraction form
    70,714.88/97,589.04 = 38,886.24/x
  3. Step 3: Cross multiply
    70,714.88x = 97,589.04 × 38,886.24
  4. Step 4: Simplify right side
    70,714.88x = 3,794,870,830.81
  5. Step 5: Solve for x
    x = 3,794,870,830.81/70,714.88
  6. Step 6: Final answer
    x = 53,664.39

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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.