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Finding the Fourth Proportional to 83,220.96, 124,805.52 and 27,804

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Solution

The fourth proportional to 83,220.96, 124,805.52 and 27,804 is: 41,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,220.96 : 124,805.52 = 27,804 : x
  2. Step 2: Convert to fraction form
    83,220.96/124,805.52 = 27,804/x
  3. Step 3: Cross multiply
    83,220.96x = 124,805.52 × 27,804
  4. Step 4: Simplify right side
    83,220.96x = 3,470,092,678.08
  5. Step 5: Solve for x
    x = 3,470,092,678.08/83,220.96
  6. Step 6: Final answer
    x = 41,697.34

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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.