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Finding the Fourth Proportional to 73,018.31, 100,744.70 and 48,854.79

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Solution

The fourth proportional to 73,018.31, 100,744.70 and 48,854.79 is: 67,405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,018.31 : 100,744.70 = 48,854.79 : x
  2. Step 2: Convert to fraction form
    73,018.31/100,744.70 = 48,854.79/x
  3. Step 3: Cross multiply
    73,018.31x = 100,744.70 × 48,854.79
  4. Step 4: Simplify right side
    73,018.31x = 4,921,860,917.84
  5. Step 5: Solve for x
    x = 4,921,860,917.84/73,018.31
  6. Step 6: Final answer
    x = 67,405.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.