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Finding the Fourth Proportional to 73,182.82, 109,708.62 and 26,424.76

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Solution

The fourth proportional to 73,182.82, 109,708.62 and 26,424.76 is: 39,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,182.82 : 109,708.62 = 26,424.76 : x
  2. Step 2: Convert to fraction form
    73,182.82/109,708.62 = 26,424.76/x
  3. Step 3: Cross multiply
    73,182.82x = 109,708.62 × 26,424.76
  4. Step 4: Simplify right side
    73,182.82x = 2,899,023,953.43
  5. Step 5: Solve for x
    x = 2,899,023,953.43/73,182.82
  6. Step 6: Final answer
    x = 39,613.45

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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.