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Finding the Fourth Proportional to 57,761.91, 86,670.41 and 31,466.07

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Solution

The fourth proportional to 57,761.91, 86,670.41 and 31,466.07 is: 47,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,761.91 : 86,670.41 = 31,466.07 : x
  2. Step 2: Convert to fraction form
    57,761.91/86,670.41 = 31,466.07/x
  3. Step 3: Cross multiply
    57,761.91x = 86,670.41 × 31,466.07
  4. Step 4: Simplify right side
    57,761.91x = 2,727,177,030.66
  5. Step 5: Solve for x
    x = 2,727,177,030.66/57,761.91
  6. Step 6: Final answer
    x = 47,214.11

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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.