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Finding the Fourth Proportional to 48,983, 67,591.14 and 27,762.08

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Solution

The fourth proportional to 48,983, 67,591.14 and 27,762.08 is: 38,308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,983 : 67,591.14 = 27,762.08 : x
  2. Step 2: Convert to fraction form
    48,983/67,591.14 = 27,762.08/x
  3. Step 3: Cross multiply
    48,983x = 67,591.14 × 27,762.08
  4. Step 4: Simplify right side
    48,983x = 1,876,470,635.97
  5. Step 5: Solve for x
    x = 1,876,470,635.97/48,983
  6. Step 6: Final answer
    x = 38,308.61

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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.