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Finding the Fourth Proportional to 33,117, 45,701.68 and 18,009.83

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Solution

The fourth proportional to 33,117, 45,701.68 and 18,009.83 is: 24,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,117 : 45,701.68 = 18,009.83 : x
  2. Step 2: Convert to fraction form
    33,117/45,701.68 = 18,009.83/x
  3. Step 3: Cross multiply
    33,117x = 45,701.68 × 18,009.83
  4. Step 4: Simplify right side
    33,117x = 823,079,487.51
  5. Step 5: Solve for x
    x = 823,079,487.51/33,117
  6. Step 6: Final answer
    x = 24,853.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.