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Finding the Fourth Proportional to 49,697.89, 74,492.61 and 24,414.80

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Solution

The fourth proportional to 49,697.89, 74,492.61 and 24,414.80 is: 36,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,697.89 : 74,492.61 = 24,414.80 : x
  2. Step 2: Convert to fraction form
    49,697.89/74,492.61 = 24,414.80/x
  3. Step 3: Cross multiply
    49,697.89x = 74,492.61 × 24,414.80
  4. Step 4: Simplify right side
    49,697.89x = 1,818,722,421.90
  5. Step 5: Solve for x
    x = 1,818,722,421.90/49,697.89
  6. Step 6: Final answer
    x = 36,595.57

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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.