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Finding the Fourth Proportional to 38,015.74, 52,437.00 and 24,382.18

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Solution

The fourth proportional to 38,015.74, 52,437.00 and 24,382.18 is: 33,631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,015.74 : 52,437.00 = 24,382.18 : x
  2. Step 2: Convert to fraction form
    38,015.74/52,437.00 = 24,382.18/x
  3. Step 3: Cross multiply
    38,015.74x = 52,437.00 × 24,382.18
  4. Step 4: Simplify right side
    38,015.74x = 1,278,528,550.24
  5. Step 5: Solve for x
    x = 1,278,528,550.24/38,015.74
  6. Step 6: Final answer
    x = 33,631.56

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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.