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Finding the Fourth Proportional to 67,142.60, 92,649.52 and 38,843

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Solution

The fourth proportional to 67,142.60, 92,649.52 and 38,843 is: 53,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,142.60 : 92,649.52 = 38,843 : x
  2. Step 2: Convert to fraction form
    67,142.60/92,649.52 = 38,843/x
  3. Step 3: Cross multiply
    67,142.60x = 92,649.52 × 38,843
  4. Step 4: Simplify right side
    67,142.60x = 3,598,785,305.36
  5. Step 5: Solve for x
    x = 3,598,785,305.36/67,142.60
  6. Step 6: Final answer
    x = 53,599.14

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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.