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Finding the Fourth Proportional to 49,648.96, 74,526.50 and 20,086.12

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Solution

The fourth proportional to 49,648.96, 74,526.50 and 20,086.12 is: 30,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,648.96 : 74,526.50 = 20,086.12 : x
  2. Step 2: Convert to fraction form
    49,648.96/74,526.50 = 20,086.12/x
  3. Step 3: Cross multiply
    49,648.96x = 74,526.50 × 20,086.12
  4. Step 4: Simplify right side
    49,648.96x = 1,496,948,222.18
  5. Step 5: Solve for x
    x = 1,496,948,222.18/49,648.96
  6. Step 6: Final answer
    x = 30,150.65

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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.