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Finding the Fourth Proportional to 43,314, 59,773.32 and 23,442

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Solution

The fourth proportional to 43,314, 59,773.32 and 23,442 is: 32,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,314 : 59,773.32 = 23,442 : x
  2. Step 2: Convert to fraction form
    43,314/59,773.32 = 23,442/x
  3. Step 3: Cross multiply
    43,314x = 59,773.32 × 23,442
  4. Step 4: Simplify right side
    43,314x = 1,401,206,167.44
  5. Step 5: Solve for x
    x = 1,401,206,167.44/43,314
  6. Step 6: Final answer
    x = 32,349.96

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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.