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Finding the Fourth Proportional to 49,215.39, 73,820.44 and 24,230.53

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Solution

The fourth proportional to 49,215.39, 73,820.44 and 24,230.53 is: 36,344.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,215.39 : 73,820.44 = 24,230.53 : x
  2. Step 2: Convert to fraction form
    49,215.39/73,820.44 = 24,230.53/x
  3. Step 3: Cross multiply
    49,215.39x = 73,820.44 × 24,230.53
  4. Step 4: Simplify right side
    49,215.39x = 1,788,708,386.03
  5. Step 5: Solve for x
    x = 1,788,708,386.03/49,215.39
  6. Step 6: Final answer
    x = 36,344.49

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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.