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Finding the Fourth Proportional to 123,351.76, 185,045.10 and 37,969.66

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Solution

The fourth proportional to 123,351.76, 185,045.10 and 37,969.66 is: 56,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,351.76 : 185,045.10 = 37,969.66 : x
  2. Step 2: Convert to fraction form
    123,351.76/185,045.10 = 37,969.66/x
  3. Step 3: Cross multiply
    123,351.76x = 185,045.10 × 37,969.66
  4. Step 4: Simplify right side
    123,351.76x = 7,026,099,531.67
  5. Step 5: Solve for x
    x = 7,026,099,531.67/123,351.76
  6. Step 6: Final answer
    x = 56,959.86

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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.