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Finding the Fourth Proportional to 61,241.10, 91,713.42 and 31,176.42

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Solution

The fourth proportional to 61,241.10, 91,713.42 and 31,176.42 is: 46,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,241.10 : 91,713.42 = 31,176.42 : x
  2. Step 2: Convert to fraction form
    61,241.10/91,713.42 = 31,176.42/x
  3. Step 3: Cross multiply
    61,241.10x = 91,713.42 × 31,176.42
  4. Step 4: Simplify right side
    61,241.10x = 2,859,296,101.56
  5. Step 5: Solve for x
    x = 2,859,296,101.56/61,241.10
  6. Step 6: Final answer
    x = 46,689.17

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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.