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Finding the Fourth Proportional to 52,129.40, 78,318.73 and 33,446.13

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Solution

The fourth proportional to 52,129.40, 78,318.73 and 33,446.13 is: 50,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,129.40 : 78,318.73 = 33,446.13 : x
  2. Step 2: Convert to fraction form
    52,129.40/78,318.73 = 33,446.13/x
  3. Step 3: Cross multiply
    52,129.40x = 78,318.73 × 33,446.13
  4. Step 4: Simplify right side
    52,129.40x = 2,619,458,341.40
  5. Step 5: Solve for x
    x = 2,619,458,341.40/52,129.40
  6. Step 6: Final answer
    x = 50,249.16

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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.