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Finding the Fourth Proportional to 31,170.60, 46,871.10 and 26,101.80

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Solution

The fourth proportional to 31,170.60, 46,871.10 and 26,101.80 is: 39,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,170.60 : 46,871.10 = 26,101.80 : x
  2. Step 2: Convert to fraction form
    31,170.60/46,871.10 = 26,101.80/x
  3. Step 3: Cross multiply
    31,170.60x = 46,871.10 × 26,101.80
  4. Step 4: Simplify right side
    31,170.60x = 1,223,420,077.98
  5. Step 5: Solve for x
    x = 1,223,420,077.98/31,170.60
  6. Step 6: Final answer
    x = 39,249.17

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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.