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Finding the Fourth Proportional to 83,759.56, 125,653.02 and 24,597.16

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Solution

The fourth proportional to 83,759.56, 125,653.02 and 24,597.16 is: 36,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,759.56 : 125,653.02 = 24,597.16 : x
  2. Step 2: Convert to fraction form
    83,759.56/125,653.02 = 24,597.16/x
  3. Step 3: Cross multiply
    83,759.56x = 125,653.02 × 24,597.16
  4. Step 4: Simplify right side
    83,759.56x = 3,090,707,437.42
  5. Step 5: Solve for x
    x = 3,090,707,437.42/83,759.56
  6. Step 6: Final answer
    x = 36,899.76

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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.