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Finding the Fourth Proportional to 75,247.92, 103,842.14 and 40,792.77

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Solution

The fourth proportional to 75,247.92, 103,842.14 and 40,792.77 is: 56,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,247.92 : 103,842.14 = 40,792.77 : x
  2. Step 2: Convert to fraction form
    75,247.92/103,842.14 = 40,792.77/x
  3. Step 3: Cross multiply
    75,247.92x = 103,842.14 × 40,792.77
  4. Step 4: Simplify right side
    75,247.92x = 4,236,008,329.36
  5. Step 5: Solve for x
    x = 4,236,008,329.36/75,247.92
  6. Step 6: Final answer
    x = 56,294.03

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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.