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Finding the Fourth Proportional to 75,521, 113,274.24 and 22,930.96

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Solution

The fourth proportional to 75,521, 113,274.24 and 22,930.96 is: 34,394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,521 : 113,274.24 = 22,930.96 : x
  2. Step 2: Convert to fraction form
    75,521/113,274.24 = 22,930.96/x
  3. Step 3: Cross multiply
    75,521x = 113,274.24 × 22,930.96
  4. Step 4: Simplify right side
    75,521x = 2,597,487,066.47
  5. Step 5: Solve for x
    x = 2,597,487,066.47/75,521
  6. Step 6: Final answer
    x = 34,394.24

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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.