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Finding the Fourth Proportional to 78,057.44, 107,718.42 and 42,246.68

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Solution

The fourth proportional to 78,057.44, 107,718.42 and 42,246.68 is: 58,299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,057.44 : 107,718.42 = 42,246.68 : x
  2. Step 2: Convert to fraction form
    78,057.44/107,718.42 = 42,246.68/x
  3. Step 3: Cross multiply
    78,057.44x = 107,718.42 × 42,246.68
  4. Step 4: Simplify right side
    78,057.44x = 4,550,745,619.85
  5. Step 5: Solve for x
    x = 4,550,745,619.85/78,057.44
  6. Step 6: Final answer
    x = 58,299.96

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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.