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Finding the Fourth Proportional to 64,522.16, 89,042.16 and 36,227.12

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Solution

The fourth proportional to 64,522.16, 89,042.16 and 36,227.12 is: 49,994.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,522.16 : 89,042.16 = 36,227.12 : x
  2. Step 2: Convert to fraction form
    64,522.16/89,042.16 = 36,227.12/x
  3. Step 3: Cross multiply
    64,522.16x = 89,042.16 × 36,227.12
  4. Step 4: Simplify right side
    64,522.16x = 3,225,741,015.38
  5. Step 5: Solve for x
    x = 3,225,741,015.38/64,522.16
  6. Step 6: Final answer
    x = 49,994.31

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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.