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Finding the Fourth Proportional to 70,348.42, 97,080.80 and 38,517.31

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Solution

The fourth proportional to 70,348.42, 97,080.80 and 38,517.31 is: 53,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,348.42 : 97,080.80 = 38,517.31 : x
  2. Step 2: Convert to fraction form
    70,348.42/97,080.80 = 38,517.31/x
  3. Step 3: Cross multiply
    70,348.42x = 97,080.80 × 38,517.31
  4. Step 4: Simplify right side
    70,348.42x = 3,739,291,268.65
  5. Step 5: Solve for x
    x = 3,739,291,268.65/70,348.42
  6. Step 6: Final answer
    x = 53,153.88

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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.