Home / 52,494.24-78,652.26-31,674

Finding the Fourth Proportional to 52,494.24, 78,652.26 and 31,674

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Solution

The fourth proportional to 52,494.24, 78,652.26 and 31,674 is: 47,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,494.24 : 78,652.26 = 31,674 : x
  2. Step 2: Convert to fraction form
    52,494.24/78,652.26 = 31,674/x
  3. Step 3: Cross multiply
    52,494.24x = 78,652.26 × 31,674
  4. Step 4: Simplify right side
    52,494.24x = 2,491,231,683.24
  5. Step 5: Solve for x
    x = 2,491,231,683.24/52,494.24
  6. Step 6: Final answer
    x = 47,457.24

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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.