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Finding the Fourth Proportional to 65,221.38, 97,848.54 and 18,474.66

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Solution

The fourth proportional to 65,221.38, 97,848.54 and 18,474.66 is: 27,716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,221.38 : 97,848.54 = 18,474.66 : x
  2. Step 2: Convert to fraction form
    65,221.38/97,848.54 = 18,474.66/x
  3. Step 3: Cross multiply
    65,221.38x = 97,848.54 × 18,474.66
  4. Step 4: Simplify right side
    65,221.38x = 1,807,718,508.00
  5. Step 5: Solve for x
    x = 1,807,718,508.00/65,221.38
  6. Step 6: Final answer
    x = 27,716.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.