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Finding the Fourth Proportional to 70,077.31, 105,129.81 and 25,704.47

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Solution

The fourth proportional to 70,077.31, 105,129.81 and 25,704.47 is: 38,561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,077.31 : 105,129.81 = 25,704.47 : x
  2. Step 2: Convert to fraction form
    70,077.31/105,129.81 = 25,704.47/x
  3. Step 3: Cross multiply
    70,077.31x = 105,129.81 × 25,704.47
  4. Step 4: Simplify right side
    70,077.31x = 2,702,306,310.08
  5. Step 5: Solve for x
    x = 2,702,306,310.08/70,077.31
  6. Step 6: Final answer
    x = 38,561.79

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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.