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Finding the Fourth Proportional to 75,133, 112,738.38 and 38,197

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Solution

The fourth proportional to 75,133, 112,738.38 and 38,197 is: 57,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,133 : 112,738.38 = 38,197 : x
  2. Step 2: Convert to fraction form
    75,133/112,738.38 = 38,197/x
  3. Step 3: Cross multiply
    75,133x = 112,738.38 × 38,197
  4. Step 4: Simplify right side
    75,133x = 4,306,267,900.86
  5. Step 5: Solve for x
    x = 4,306,267,900.86/75,133
  6. Step 6: Final answer
    x = 57,315.27

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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.