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Finding the Fourth Proportional to 83,235.44, 124,870.44 and 27,830

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Solution

The fourth proportional to 83,235.44, 124,870.44 and 27,830 is: 41,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,235.44 : 124,870.44 = 27,830 : x
  2. Step 2: Convert to fraction form
    83,235.44/124,870.44 = 27,830/x
  3. Step 3: Cross multiply
    83,235.44x = 124,870.44 × 27,830
  4. Step 4: Simplify right side
    83,235.44x = 3,475,144,345.20
  5. Step 5: Solve for x
    x = 3,475,144,345.20/83,235.44
  6. Step 6: Final answer
    x = 41,750.78

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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.