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Finding the Fourth Proportional to 75,568.50, 104,285.14 and 42,034.50

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Solution

The fourth proportional to 75,568.50, 104,285.14 and 42,034.50 is: 58,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,568.50 : 104,285.14 = 42,034.50 : x
  2. Step 2: Convert to fraction form
    75,568.50/104,285.14 = 42,034.50/x
  3. Step 3: Cross multiply
    75,568.50x = 104,285.14 × 42,034.50
  4. Step 4: Simplify right side
    75,568.50x = 4,383,573,612.24
  5. Step 5: Solve for x
    x = 4,383,573,612.24/75,568.50
  6. Step 6: Final answer
    x = 58,007.95

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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.