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Finding the Fourth Proportional to 109,483.88, 164,229.87 and 49,500.95

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Solution

The fourth proportional to 109,483.88, 164,229.87 and 49,500.95 is: 74,253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,483.88 : 164,229.87 = 49,500.95 : x
  2. Step 2: Convert to fraction form
    109,483.88/164,229.87 = 49,500.95/x
  3. Step 3: Cross multiply
    109,483.88x = 164,229.87 × 49,500.95
  4. Step 4: Simplify right side
    109,483.88x = 8,129,534,583.38
  5. Step 5: Solve for x
    x = 8,129,534,583.38/109,483.88
  6. Step 6: Final answer
    x = 74,253.26

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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.