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Finding the Fourth Proportional to 73,501.66, 110,194.17 and 31,919.50

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Solution

The fourth proportional to 73,501.66, 110,194.17 and 31,919.50 is: 47,853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,501.66 : 110,194.17 = 31,919.50 : x
  2. Step 2: Convert to fraction form
    73,501.66/110,194.17 = 31,919.50/x
  3. Step 3: Cross multiply
    73,501.66x = 110,194.17 × 31,919.50
  4. Step 4: Simplify right side
    73,501.66x = 3,517,342,809.32
  5. Step 5: Solve for x
    x = 3,517,342,809.32/73,501.66
  6. Step 6: Final answer
    x = 47,853.92

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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.