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Finding the Fourth Proportional to 70,499.31, 97,287.31 and 38,232.15

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Solution

The fourth proportional to 70,499.31, 97,287.31 and 38,232.15 is: 52,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,499.31 : 97,287.31 = 38,232.15 : x
  2. Step 2: Convert to fraction form
    70,499.31/97,287.31 = 38,232.15/x
  3. Step 3: Cross multiply
    70,499.31x = 97,287.31 × 38,232.15
  4. Step 4: Simplify right side
    70,499.31x = 3,719,503,029.02
  5. Step 5: Solve for x
    x = 3,719,503,029.02/70,499.31
  6. Step 6: Final answer
    x = 52,759.42

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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.