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Finding the Fourth Proportional to 67,415.20, 101,114.70 and 27,968.20

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Solution

The fourth proportional to 67,415.20, 101,114.70 and 27,968.20 is: 41,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,415.20 : 101,114.70 = 27,968.20 : x
  2. Step 2: Convert to fraction form
    67,415.20/101,114.70 = 27,968.20/x
  3. Step 3: Cross multiply
    67,415.20x = 101,114.70 × 27,968.20
  4. Step 4: Simplify right side
    67,415.20x = 2,827,996,152.54
  5. Step 5: Solve for x
    x = 2,827,996,152.54/67,415.20
  6. Step 6: Final answer
    x = 41,948.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.