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Finding the Fourth Proportional to 102,379.74, 153,591.48 and 35,822.04

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Solution

The fourth proportional to 102,379.74, 153,591.48 and 35,822.04 is: 53,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,379.74 : 153,591.48 = 35,822.04 : x
  2. Step 2: Convert to fraction form
    102,379.74/153,591.48 = 35,822.04/x
  3. Step 3: Cross multiply
    102,379.74x = 153,591.48 × 35,822.04
  4. Step 4: Simplify right side
    102,379.74x = 5,501,959,193.15
  5. Step 5: Solve for x
    x = 5,501,959,193.15/102,379.74
  6. Step 6: Final answer
    x = 53,740.71

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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.