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Finding the Fourth Proportional to 73,541.82, 110,290.80 and 26,783.76

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Solution

The fourth proportional to 73,541.82, 110,290.80 and 26,783.76 is: 40,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,541.82 : 110,290.80 = 26,783.76 : x
  2. Step 2: Convert to fraction form
    73,541.82/110,290.80 = 26,783.76/x
  3. Step 3: Cross multiply
    73,541.82x = 110,290.80 × 26,783.76
  4. Step 4: Simplify right side
    73,541.82x = 2,954,002,317.41
  5. Step 5: Solve for x
    x = 2,954,002,317.41/73,541.82
  6. Step 6: Final answer
    x = 40,167.65

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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.