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Finding the Fourth Proportional to 105,471.48, 158,203.10 and 38,882.80

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Solution

The fourth proportional to 105,471.48, 158,203.10 and 38,882.80 is: 58,322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,471.48 : 158,203.10 = 38,882.80 : x
  2. Step 2: Convert to fraction form
    105,471.48/158,203.10 = 38,882.80/x
  3. Step 3: Cross multiply
    105,471.48x = 158,203.10 × 38,882.80
  4. Step 4: Simplify right side
    105,471.48x = 6,151,379,496.68
  5. Step 5: Solve for x
    x = 6,151,379,496.68/105,471.48
  6. Step 6: Final answer
    x = 58,322.68

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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.