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Finding the Fourth Proportional to 75,233.76, 103,822.60 and 41,699.76

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Solution

The fourth proportional to 75,233.76, 103,822.60 and 41,699.76 is: 57,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,233.76 : 103,822.60 = 41,699.76 : x
  2. Step 2: Convert to fraction form
    75,233.76/103,822.60 = 41,699.76/x
  3. Step 3: Cross multiply
    75,233.76x = 103,822.60 × 41,699.76
  4. Step 4: Simplify right side
    75,233.76x = 4,329,377,502.58
  5. Step 5: Solve for x
    x = 4,329,377,502.58/75,233.76
  6. Step 6: Final answer
    x = 57,545.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.