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Finding the Fourth Proportional to 75,884.54, 104,717.92 and 41,892.30

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Solution

The fourth proportional to 75,884.54, 104,717.92 and 41,892.30 is: 57,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,884.54 : 104,717.92 = 41,892.30 : x
  2. Step 2: Convert to fraction form
    75,884.54/104,717.92 = 41,892.30/x
  3. Step 3: Cross multiply
    75,884.54x = 104,717.92 × 41,892.30
  4. Step 4: Simplify right side
    75,884.54x = 4,386,874,415.29
  5. Step 5: Solve for x
    x = 4,386,874,415.29/75,884.54
  6. Step 6: Final answer
    x = 57,809.86

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1.5x scale

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.