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Finding the Fourth Proportional to 64,642.96, 89,208.39 and 35,964.91

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Solution

The fourth proportional to 64,642.96, 89,208.39 and 35,964.91 is: 49,632.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,642.96 : 89,208.39 = 35,964.91 : x
  2. Step 2: Convert to fraction form
    64,642.96/89,208.39 = 35,964.91/x
  3. Step 3: Cross multiply
    64,642.96x = 89,208.39 × 35,964.91
  4. Step 4: Simplify right side
    64,642.96x = 3,208,371,717.59
  5. Step 5: Solve for x
    x = 3,208,371,717.59/64,642.96
  6. Step 6: Final answer
    x = 49,632.19

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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.