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Finding the Fourth Proportional to 57,442.80, 86,121.83 and 41,406.63

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Solution

The fourth proportional to 57,442.80, 86,121.83 and 41,406.63 is: 62,079.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,442.80 : 86,121.83 = 41,406.63 : x
  2. Step 2: Convert to fraction form
    57,442.80/86,121.83 = 41,406.63/x
  3. Step 3: Cross multiply
    57,442.80x = 86,121.83 × 41,406.63
  4. Step 4: Simplify right side
    57,442.80x = 3,566,014,530.29
  5. Step 5: Solve for x
    x = 3,566,014,530.29/57,442.80
  6. Step 6: Final answer
    x = 62,079.40

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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.