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Finding the Fourth Proportional to 75,106.62, 112,770.63 and 41,891.58

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Solution

The fourth proportional to 75,106.62, 112,770.63 and 41,891.58 is: 62,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,106.62 : 112,770.63 = 41,891.58 : x
  2. Step 2: Convert to fraction form
    75,106.62/112,770.63 = 41,891.58/x
  3. Step 3: Cross multiply
    75,106.62x = 112,770.63 × 41,891.58
  4. Step 4: Simplify right side
    75,106.62x = 4,724,139,868.30
  5. Step 5: Solve for x
    x = 4,724,139,868.30/75,106.62
  6. Step 6: Final answer
    x = 62,899.11

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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.