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Finding the Fourth Proportional to 75,874.46, 113,862.46 and 31,501.24

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Solution

The fourth proportional to 75,874.46, 113,862.46 and 31,501.24 is: 47,272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,874.46 : 113,862.46 = 31,501.24 : x
  2. Step 2: Convert to fraction form
    75,874.46/113,862.46 = 31,501.24/x
  3. Step 3: Cross multiply
    75,874.46x = 113,862.46 × 31,501.24
  4. Step 4: Simplify right side
    75,874.46x = 3,586,808,679.45
  5. Step 5: Solve for x
    x = 3,586,808,679.45/75,874.46
  6. Step 6: Final answer
    x = 47,272.94

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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.