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Finding the Fourth Proportional to 41,870.40, 57,781.38 and 22,750.32

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Solution

The fourth proportional to 41,870.40, 57,781.38 and 22,750.32 is: 31,395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,870.40 : 57,781.38 = 22,750.32 : x
  2. Step 2: Convert to fraction form
    41,870.40/57,781.38 = 22,750.32/x
  3. Step 3: Cross multiply
    41,870.40x = 57,781.38 × 22,750.32
  4. Step 4: Simplify right side
    41,870.40x = 1,314,544,885.04
  5. Step 5: Solve for x
    x = 1,314,544,885.04/41,870.40
  6. Step 6: Final answer
    x = 31,395.57

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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.