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Finding the Fourth Proportional to 55,456.17, 83,172 and 16,004.70

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Solution

The fourth proportional to 55,456.17, 83,172 and 16,004.70 is: 24,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,456.17 : 83,172 = 16,004.70 : x
  2. Step 2: Convert to fraction form
    55,456.17/83,172 = 16,004.70/x
  3. Step 3: Cross multiply
    55,456.17x = 83,172 × 16,004.70
  4. Step 4: Simplify right side
    55,456.17x = 1,331,142,908.40
  5. Step 5: Solve for x
    x = 1,331,142,908.40/55,456.17
  6. Step 6: Final answer
    x = 24,003.51

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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.