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Finding the Fourth Proportional to 75,959.20, 104,823.60 and 42,425.20

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Solution

The fourth proportional to 75,959.20, 104,823.60 and 42,425.20 is: 58,546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,959.20 : 104,823.60 = 42,425.20 : x
  2. Step 2: Convert to fraction form
    75,959.20/104,823.60 = 42,425.20/x
  3. Step 3: Cross multiply
    75,959.20x = 104,823.60 × 42,425.20
  4. Step 4: Simplify right side
    75,959.20x = 4,447,162,194.72
  5. Step 5: Solve for x
    x = 4,447,162,194.72/75,959.20
  6. Step 6: Final answer
    x = 58,546.72

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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.