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Finding the Fourth Proportional to 64,643.94, 89,209.17 and 36,349.38

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Solution

The fourth proportional to 64,643.94, 89,209.17 and 36,349.38 is: 50,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,643.94 : 89,209.17 = 36,349.38 : x
  2. Step 2: Convert to fraction form
    64,643.94/89,209.17 = 36,349.38/x
  3. Step 3: Cross multiply
    64,643.94x = 89,209.17 × 36,349.38
  4. Step 4: Simplify right side
    64,643.94x = 3,242,698,019.81
  5. Step 5: Solve for x
    x = 3,242,698,019.81/64,643.94
  6. Step 6: Final answer
    x = 50,162.44

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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.