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Finding the Fourth Proportional to 83,243.14, 124,843.94 and 32,652.45

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Solution

The fourth proportional to 83,243.14, 124,843.94 and 32,652.45 is: 48,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,243.14 : 124,843.94 = 32,652.45 : x
  2. Step 2: Convert to fraction form
    83,243.14/124,843.94 = 32,652.45/x
  3. Step 3: Cross multiply
    83,243.14x = 124,843.94 × 32,652.45
  4. Step 4: Simplify right side
    83,243.14x = 4,076,460,508.65
  5. Step 5: Solve for x
    x = 4,076,460,508.65/83,243.14
  6. Step 6: Final answer
    x = 48,970.53

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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.