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Finding the Fourth Proportional to 55,363.94, 83,059.08 and 17,924

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Solution

The fourth proportional to 55,363.94, 83,059.08 and 17,924 is: 26,890.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,363.94 : 83,059.08 = 17,924 : x
  2. Step 2: Convert to fraction form
    55,363.94/83,059.08 = 17,924/x
  3. Step 3: Cross multiply
    55,363.94x = 83,059.08 × 17,924
  4. Step 4: Simplify right side
    55,363.94x = 1,488,750,949.92
  5. Step 5: Solve for x
    x = 1,488,750,949.92/55,363.94
  6. Step 6: Final answer
    x = 26,890.26

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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.