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Finding the Fourth Proportional to 73,138.47, 100,933.08 and 41,312.10

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Solution

The fourth proportional to 73,138.47, 100,933.08 and 41,312.10 is: 57,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,138.47 : 100,933.08 = 41,312.10 : x
  2. Step 2: Convert to fraction form
    73,138.47/100,933.08 = 41,312.10/x
  3. Step 3: Cross multiply
    73,138.47x = 100,933.08 × 41,312.10
  4. Step 4: Simplify right side
    73,138.47x = 4,169,757,494.27
  5. Step 5: Solve for x
    x = 4,169,757,494.27/73,138.47
  6. Step 6: Final answer
    x = 57,011.82

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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.