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Finding the Fourth Proportional to 75,532.16, 113,298.24 and 33,950

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Solution

The fourth proportional to 75,532.16, 113,298.24 and 33,950 is: 50,925

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,532.16 : 113,298.24 = 33,950 : x
  2. Step 2: Convert to fraction form
    75,532.16/113,298.24 = 33,950/x
  3. Step 3: Cross multiply
    75,532.16x = 113,298.24 × 33,950
  4. Step 4: Simplify right side
    75,532.16x = 3,846,475,248
  5. Step 5: Solve for x
    x = 3,846,475,248/75,532.16
  6. Step 6: Final answer
    x = 50,925

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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.