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Finding the Fourth Proportional to 31,052.70, 42,858.32 and 18,305.15

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Solution

The fourth proportional to 31,052.70, 42,858.32 and 18,305.15 is: 25,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,052.70 : 42,858.32 = 18,305.15 : x
  2. Step 2: Convert to fraction form
    31,052.70/42,858.32 = 18,305.15/x
  3. Step 3: Cross multiply
    31,052.70x = 42,858.32 × 18,305.15
  4. Step 4: Simplify right side
    31,052.70x = 784,527,670.53
  5. Step 5: Solve for x
    x = 784,527,670.53/31,052.70
  6. Step 6: Final answer
    x = 25,264.39

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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.