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Finding the Fourth Proportional to 48,496.86, 66,926.27 and 27,276.12

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Solution

The fourth proportional to 48,496.86, 66,926.27 and 27,276.12 is: 37,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,496.86 : 66,926.27 = 27,276.12 : x
  2. Step 2: Convert to fraction form
    48,496.86/66,926.27 = 27,276.12/x
  3. Step 3: Cross multiply
    48,496.86x = 66,926.27 × 27,276.12
  4. Step 4: Simplify right side
    48,496.86x = 1,825,488,971.67
  5. Step 5: Solve for x
    x = 1,825,488,971.67/48,496.86
  6. Step 6: Final answer
    x = 37,641.38

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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.