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Finding the Fourth Proportional to 75,770.01, 113,492.19 and 61,474.32

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Solution

The fourth proportional to 75,770.01, 113,492.19 and 61,474.32 is: 92,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,770.01 : 113,492.19 = 61,474.32 : x
  2. Step 2: Convert to fraction form
    75,770.01/113,492.19 = 61,474.32/x
  3. Step 3: Cross multiply
    75,770.01x = 113,492.19 × 61,474.32
  4. Step 4: Simplify right side
    75,770.01x = 6,976,855,205.56
  5. Step 5: Solve for x
    x = 6,976,855,205.56/75,770.01
  6. Step 6: Final answer
    x = 92,079.38

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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.