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Finding the Fourth Proportional to 38,342.04, 52,894.97 and 22,419.47

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Solution

The fourth proportional to 38,342.04, 52,894.97 and 22,419.47 is: 30,928.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,342.04 : 52,894.97 = 22,419.47 : x
  2. Step 2: Convert to fraction form
    38,342.04/52,894.97 = 22,419.47/x
  3. Step 3: Cross multiply
    38,342.04x = 52,894.97 × 22,419.47
  4. Step 4: Simplify right side
    38,342.04x = 1,185,876,816.49
  5. Step 5: Solve for x
    x = 1,185,876,816.49/38,342.04
  6. Step 6: Final answer
    x = 30,928.89

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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.