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Finding the Fourth Proportional to 75,295.53, 112,950.38 and 53,747.30

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Solution

The fourth proportional to 75,295.53, 112,950.38 and 53,747.30 is: 80,626.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,295.53 : 112,950.38 = 53,747.30 : x
  2. Step 2: Convert to fraction form
    75,295.53/112,950.38 = 53,747.30/x
  3. Step 3: Cross multiply
    75,295.53x = 112,950.38 × 53,747.30
  4. Step 4: Simplify right side
    75,295.53x = 6,070,778,375.72
  5. Step 5: Solve for x
    x = 6,070,778,375.72/75,295.53
  6. Step 6: Final answer
    x = 80,626.01

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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.