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Finding the Fourth Proportional to 73,158.76, 109,780.26 and 31,035.52

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Solution

The fourth proportional to 73,158.76, 109,780.26 and 31,035.52 is: 46,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,158.76 : 109,780.26 = 31,035.52 : x
  2. Step 2: Convert to fraction form
    73,158.76/109,780.26 = 31,035.52/x
  3. Step 3: Cross multiply
    73,158.76x = 109,780.26 × 31,035.52
  4. Step 4: Simplify right side
    73,158.76x = 3,407,087,454.84
  5. Step 5: Solve for x
    x = 3,407,087,454.84/73,158.76
  6. Step 6: Final answer
    x = 46,571.15

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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.