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Finding the Fourth Proportional to 71,699.68, 98,931.12 and 41,885.92

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Solution

The fourth proportional to 71,699.68, 98,931.12 and 41,885.92 is: 57,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,699.68 : 98,931.12 = 41,885.92 : x
  2. Step 2: Convert to fraction form
    71,699.68/98,931.12 = 41,885.92/x
  3. Step 3: Cross multiply
    71,699.68x = 98,931.12 × 41,885.92
  4. Step 4: Simplify right side
    71,699.68x = 4,143,820,977.83
  5. Step 5: Solve for x
    x = 4,143,820,977.83/71,699.68
  6. Step 6: Final answer
    x = 57,794.13

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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.