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Finding the Fourth Proportional to 48,014.86, 66,266.49 and 27,867.40

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Solution

The fourth proportional to 48,014.86, 66,266.49 and 27,867.40 is: 38,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,014.86 : 66,266.49 = 27,867.40 : x
  2. Step 2: Convert to fraction form
    48,014.86/66,266.49 = 27,867.40/x
  3. Step 3: Cross multiply
    48,014.86x = 66,266.49 × 27,867.40
  4. Step 4: Simplify right side
    48,014.86x = 1,846,674,783.43
  5. Step 5: Solve for x
    x = 1,846,674,783.43/48,014.86
  6. Step 6: Final answer
    x = 38,460.48

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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.