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Finding the Fourth Proportional to 75,771, 113,493.70 and 61,475.32

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Solution

The fourth proportional to 75,771, 113,493.70 and 61,475.32 is: 92,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,771 : 113,493.70 = 61,475.32 : x
  2. Step 2: Convert to fraction form
    75,771/113,493.70 = 61,475.32/x
  3. Step 3: Cross multiply
    75,771x = 113,493.70 × 61,475.32
  4. Step 4: Simplify right side
    75,771x = 6,977,061,525.48
  5. Step 5: Solve for x
    x = 6,977,061,525.48/75,771
  6. Step 6: Final answer
    x = 92,080.90

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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.