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Finding the Fourth Proportional to 33,091.38, 45,666.30 and 17,984.16

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Solution

The fourth proportional to 33,091.38, 45,666.30 and 17,984.16 is: 24,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,091.38 : 45,666.30 = 17,984.16 : x
  2. Step 2: Convert to fraction form
    33,091.38/45,666.30 = 17,984.16/x
  3. Step 3: Cross multiply
    33,091.38x = 45,666.30 × 17,984.16
  4. Step 4: Simplify right side
    33,091.38x = 821,270,045.81
  5. Step 5: Solve for x
    x = 821,270,045.81/33,091.38
  6. Step 6: Final answer
    x = 24,818.25

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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.