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Finding the Fourth Proportional to 74,343.91, 111,492.37 and 24,415.78

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Solution

The fourth proportional to 74,343.91, 111,492.37 and 24,415.78 is: 36,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,343.91 : 111,492.37 = 24,415.78 : x
  2. Step 2: Convert to fraction form
    74,343.91/111,492.37 = 24,415.78/x
  3. Step 3: Cross multiply
    74,343.91x = 111,492.37 × 24,415.78
  4. Step 4: Simplify right side
    74,343.91x = 2,722,173,177.60
  5. Step 5: Solve for x
    x = 2,722,173,177.60/74,343.91
  6. Step 6: Final answer
    x = 36,615.95

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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.