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Finding the Fourth Proportional to 41,520.58, 57,298.10 and 22,657.70

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Solution

The fourth proportional to 41,520.58, 57,298.10 and 22,657.70 is: 31,267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,520.58 : 57,298.10 = 22,657.70 : x
  2. Step 2: Convert to fraction form
    41,520.58/57,298.10 = 22,657.70/x
  3. Step 3: Cross multiply
    41,520.58x = 57,298.10 × 22,657.70
  4. Step 4: Simplify right side
    41,520.58x = 1,298,243,160.37
  5. Step 5: Solve for x
    x = 1,298,243,160.37/41,520.58
  6. Step 6: Final answer
    x = 31,267.46

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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.