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Finding the Fourth Proportional to 57,461.74, 86,014.41 and 31,101.10

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Solution

The fourth proportional to 57,461.74, 86,014.41 and 31,101.10 is: 46,555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,461.74 : 86,014.41 = 31,101.10 : x
  2. Step 2: Convert to fraction form
    57,461.74/86,014.41 = 31,101.10/x
  3. Step 3: Cross multiply
    57,461.74x = 86,014.41 × 31,101.10
  4. Step 4: Simplify right side
    57,461.74x = 2,675,142,766.85
  5. Step 5: Solve for x
    x = 2,675,142,766.85/57,461.74
  6. Step 6: Final answer
    x = 46,555.20

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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.