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Finding the Fourth Proportional to 75,484.34, 113,226.78 and 22,894.28

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Solution

The fourth proportional to 75,484.34, 113,226.78 and 22,894.28 is: 34,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,484.34 : 113,226.78 = 22,894.28 : x
  2. Step 2: Convert to fraction form
    75,484.34/113,226.78 = 22,894.28/x
  3. Step 3: Cross multiply
    75,484.34x = 113,226.78 × 22,894.28
  4. Step 4: Simplify right side
    75,484.34x = 2,592,245,604.82
  5. Step 5: Solve for x
    x = 2,592,245,604.82/75,484.34
  6. Step 6: Final answer
    x = 34,341.50

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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.