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Finding the Fourth Proportional to 73,146, 100,945.80 and 41,314.08

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Solution

The fourth proportional to 73,146, 100,945.80 and 41,314.08 is: 57,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,146 : 100,945.80 = 41,314.08 : x
  2. Step 2: Convert to fraction form
    73,146/100,945.80 = 41,314.08/x
  3. Step 3: Cross multiply
    73,146x = 100,945.80 × 41,314.08
  4. Step 4: Simplify right side
    73,146x = 4,170,482,856.86
  5. Step 5: Solve for x
    x = 4,170,482,856.86/73,146
  6. Step 6: Final answer
    x = 57,015.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.