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Finding the Fourth Proportional to 57,435.71, 86,157.67 and 15,315.56

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Solution

The fourth proportional to 57,435.71, 86,157.67 and 15,315.56 is: 22,974.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,435.71 : 86,157.67 = 15,315.56 : x
  2. Step 2: Convert to fraction form
    57,435.71/86,157.67 = 15,315.56/x
  3. Step 3: Cross multiply
    57,435.71x = 86,157.67 × 15,315.56
  4. Step 4: Simplify right side
    57,435.71x = 1,319,553,141.45
  5. Step 5: Solve for x
    x = 1,319,553,141.45/57,435.71
  6. Step 6: Final answer
    x = 22,974.44

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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.