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Finding the Fourth Proportional to 89,278, 133,917.76 and 22,718.20

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Solution

The fourth proportional to 89,278, 133,917.76 and 22,718.20 is: 34,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,278 : 133,917.76 = 22,718.20 : x
  2. Step 2: Convert to fraction form
    89,278/133,917.76 = 22,718.20/x
  3. Step 3: Cross multiply
    89,278x = 133,917.76 × 22,718.20
  4. Step 4: Simplify right side
    89,278x = 3,042,370,455.23
  5. Step 5: Solve for x
    x = 3,042,370,455.23/89,278
  6. Step 6: Final answer
    x = 34,077.49

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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.