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Finding the Fourth Proportional to 75,894.48, 104,726.43 and 44,057.16

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Solution

The fourth proportional to 75,894.48, 104,726.43 and 44,057.16 is: 60,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,894.48 : 104,726.43 = 44,057.16 : x
  2. Step 2: Convert to fraction form
    75,894.48/104,726.43 = 44,057.16/x
  3. Step 3: Cross multiply
    75,894.48x = 104,726.43 × 44,057.16
  4. Step 4: Simplify right side
    75,894.48x = 4,613,949,082.74
  5. Step 5: Solve for x
    x = 4,613,949,082.74/75,894.48
  6. Step 6: Final answer
    x = 60,794.26

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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.