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Finding the Fourth Proportional to 45,249.32, 67,849.07 and 24,214.02

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Solution

The fourth proportional to 45,249.32, 67,849.07 and 24,214.02 is: 36,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,249.32 : 67,849.07 = 24,214.02 : x
  2. Step 2: Convert to fraction form
    45,249.32/67,849.07 = 24,214.02/x
  3. Step 3: Cross multiply
    45,249.32x = 67,849.07 × 24,214.02
  4. Step 4: Simplify right side
    45,249.32x = 1,642,898,616.89
  5. Step 5: Solve for x
    x = 1,642,898,616.89/45,249.32
  6. Step 6: Final answer
    x = 36,307.70

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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.