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Finding the Fourth Proportional to 75,212.70, 112,777.38 and 30,870.66

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Solution

The fourth proportional to 75,212.70, 112,777.38 and 30,870.66 is: 46,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,212.70 : 112,777.38 = 30,870.66 : x
  2. Step 2: Convert to fraction form
    75,212.70/112,777.38 = 30,870.66/x
  3. Step 3: Cross multiply
    75,212.70x = 112,777.38 × 30,870.66
  4. Step 4: Simplify right side
    75,212.70x = 3,481,512,153.67
  5. Step 5: Solve for x
    x = 3,481,512,153.67/75,212.70
  6. Step 6: Final answer
    x = 46,288.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.