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Finding the Fourth Proportional to 102,589.74, 153,854.24 and 36,017.46

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Solution

The fourth proportional to 102,589.74, 153,854.24 and 36,017.46 is: 54,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,589.74 : 153,854.24 = 36,017.46 : x
  2. Step 2: Convert to fraction form
    102,589.74/153,854.24 = 36,017.46/x
  3. Step 3: Cross multiply
    102,589.74x = 153,854.24 × 36,017.46
  4. Step 4: Simplify right side
    102,589.74x = 5,541,438,754.94
  5. Step 5: Solve for x
    x = 5,541,438,754.94/102,589.74
  6. Step 6: Final answer
    x = 54,015.53

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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.