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Finding the Fourth Proportional to 48,233.60, 66,558.72 and 27,008

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Solution

The fourth proportional to 48,233.60, 66,558.72 and 27,008 is: 37,269.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,233.60 : 66,558.72 = 27,008 : x
  2. Step 2: Convert to fraction form
    48,233.60/66,558.72 = 27,008/x
  3. Step 3: Cross multiply
    48,233.60x = 66,558.72 × 27,008
  4. Step 4: Simplify right side
    48,233.60x = 1,797,617,909.76
  5. Step 5: Solve for x
    x = 1,797,617,909.76/48,233.60
  6. Step 6: Final answer
    x = 37,269.00

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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.