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Finding the Fourth Proportional to 41,698.32, 57,543.60 and 22,835.40

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Solution

The fourth proportional to 41,698.32, 57,543.60 and 22,835.40 is: 31,512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,698.32 : 57,543.60 = 22,835.40 : x
  2. Step 2: Convert to fraction form
    41,698.32/57,543.60 = 22,835.40/x
  3. Step 3: Cross multiply
    41,698.32x = 57,543.60 × 22,835.40
  4. Step 4: Simplify right side
    41,698.32x = 1,314,031,123.44
  5. Step 5: Solve for x
    x = 1,314,031,123.44/41,698.32
  6. Step 6: Final answer
    x = 31,512.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.