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Finding the Fourth Proportional to 75,371, 104,013.30 and 41,382.68

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Solution

The fourth proportional to 75,371, 104,013.30 and 41,382.68 is: 57,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,371 : 104,013.30 = 41,382.68 : x
  2. Step 2: Convert to fraction form
    75,371/104,013.30 = 41,382.68/x
  3. Step 3: Cross multiply
    75,371x = 104,013.30 × 41,382.68
  4. Step 4: Simplify right side
    75,371x = 4,304,349,109.64
  5. Step 5: Solve for x
    x = 4,304,349,109.64/75,371
  6. Step 6: Final answer
    x = 57,108.82

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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.