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Finding the Fourth Proportional to 67,787, 93,546.06 and 41,291

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Solution

The fourth proportional to 67,787, 93,546.06 and 41,291 is: 56,981.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,787 : 93,546.06 = 41,291 : x
  2. Step 2: Convert to fraction form
    67,787/93,546.06 = 41,291/x
  3. Step 3: Cross multiply
    67,787x = 93,546.06 × 41,291
  4. Step 4: Simplify right side
    67,787x = 3,862,610,363.46
  5. Step 5: Solve for x
    x = 3,862,610,363.46/67,787
  6. Step 6: Final answer
    x = 56,981.58

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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.