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Finding the Fourth Proportional to 64,736.16, 89,334.84 and 36,055.05

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Solution

The fourth proportional to 64,736.16, 89,334.84 and 36,055.05 is: 49,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736.16 : 89,334.84 = 36,055.05 : x
  2. Step 2: Convert to fraction form
    64,736.16/89,334.84 = 36,055.05/x
  3. Step 3: Cross multiply
    64,736.16x = 89,334.84 × 36,055.05
  4. Step 4: Simplify right side
    64,736.16x = 3,220,972,122.94
  5. Step 5: Solve for x
    x = 3,220,972,122.94/64,736.16
  6. Step 6: Final answer
    x = 49,755.38

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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.