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Finding the Fourth Proportional to 75,284, 103,894.08 and 41,752.16

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Solution

The fourth proportional to 75,284, 103,894.08 and 41,752.16 is: 57,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,284 : 103,894.08 = 41,752.16 : x
  2. Step 2: Convert to fraction form
    75,284/103,894.08 = 41,752.16/x
  3. Step 3: Cross multiply
    75,284x = 103,894.08 × 41,752.16
  4. Step 4: Simplify right side
    75,284x = 4,337,802,251.21
  5. Step 5: Solve for x
    x = 4,337,802,251.21/75,284
  6. Step 6: Final answer
    x = 57,619.18

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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.