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Finding the Fourth Proportional to 33,102.38, 45,678.57 and 19,488.26

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Solution

The fourth proportional to 33,102.38, 45,678.57 and 19,488.26 is: 26,892.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.38 : 45,678.57 = 19,488.26 : x
  2. Step 2: Convert to fraction form
    33,102.38/45,678.57 = 19,488.26/x
  3. Step 3: Cross multiply
    33,102.38x = 45,678.57 × 19,488.26
  4. Step 4: Simplify right side
    33,102.38x = 890,195,848.59
  5. Step 5: Solve for x
    x = 890,195,848.59/33,102.38
  6. Step 6: Final answer
    x = 26,892.20

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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.