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Finding the Fourth Proportional to 22,034, 33,051 and 5,618

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Solution

The fourth proportional to 22,034, 33,051 and 5,618 is: 8,427

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034 : 33,051 = 5,618 : x
  2. Step 2: Convert to fraction form
    22,034/33,051 = 5,618/x
  3. Step 3: Cross multiply
    22,034x = 33,051 × 5,618
  4. Step 4: Simplify right side
    22,034x = 185,680,518
  5. Step 5: Solve for x
    x = 185,680,518/22,034
  6. Step 6: Final answer
    x = 8,427

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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.