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Finding the Fourth Proportional to 75,034.60, 112,510.34 and 30,692.49

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Solution

The fourth proportional to 75,034.60, 112,510.34 and 30,692.49 is: 46,021.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,034.60 : 112,510.34 = 30,692.49 : x
  2. Step 2: Convert to fraction form
    75,034.60/112,510.34 = 30,692.49/x
  3. Step 3: Cross multiply
    75,034.60x = 112,510.34 × 30,692.49
  4. Step 4: Simplify right side
    75,034.60x = 3,453,221,922.79
  5. Step 5: Solve for x
    x = 3,453,221,922.79/75,034.60
  6. Step 6: Final answer
    x = 46,021.73

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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.