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Finding the Fourth Proportional to 29,462.64, 44,193.96 and 17,142

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Solution

The fourth proportional to 29,462.64, 44,193.96 and 17,142 is: 25,713

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,462.64 : 44,193.96 = 17,142 : x
  2. Step 2: Convert to fraction form
    29,462.64/44,193.96 = 17,142/x
  3. Step 3: Cross multiply
    29,462.64x = 44,193.96 × 17,142
  4. Step 4: Simplify right side
    29,462.64x = 757,572,862.32
  5. Step 5: Solve for x
    x = 757,572,862.32/29,462.64
  6. Step 6: Final answer
    x = 25,713

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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.