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Finding the Fourth Proportional to 75,165.87, 112,758.07 and 24,563.70

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Solution

The fourth proportional to 75,165.87, 112,758.07 and 24,563.70 is: 36,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,165.87 : 112,758.07 = 24,563.70 : x
  2. Step 2: Convert to fraction form
    75,165.87/112,758.07 = 24,563.70/x
  3. Step 3: Cross multiply
    75,165.87x = 112,758.07 × 24,563.70
  4. Step 4: Simplify right side
    75,165.87x = 2,769,754,840.27
  5. Step 5: Solve for x
    x = 2,769,754,840.27/75,165.87
  6. Step 6: Final answer
    x = 36,848.57

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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.