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Finding the Fourth Proportional to 55,344.38, 83,024.66 and 17,892

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Solution

The fourth proportional to 55,344.38, 83,024.66 and 17,892 is: 26,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,344.38 : 83,024.66 = 17,892 : x
  2. Step 2: Convert to fraction form
    55,344.38/83,024.66 = 17,892/x
  3. Step 3: Cross multiply
    55,344.38x = 83,024.66 × 17,892
  4. Step 4: Simplify right side
    55,344.38x = 1,485,477,261.45
  5. Step 5: Solve for x
    x = 1,485,477,261.45/55,344.38
  6. Step 6: Final answer
    x = 26,840.62

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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.