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Finding the Fourth Proportional to 75,736, 104,517.84 and 42,204.16

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Solution

The fourth proportional to 75,736, 104,517.84 and 42,204.16 is: 58,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,736 : 104,517.84 = 42,204.16 : x
  2. Step 2: Convert to fraction form
    75,736/104,517.84 = 42,204.16/x
  3. Step 3: Cross multiply
    75,736x = 104,517.84 × 42,204.16
  4. Step 4: Simplify right side
    75,736x = 4,411,087,642.21
  5. Step 5: Solve for x
    x = 4,411,087,642.21/75,736
  6. Step 6: Final answer
    x = 58,242.94

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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.