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Finding the Fourth Proportional to 64,643.27, 89,207.12 and 36,349.16

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Solution

The fourth proportional to 64,643.27, 89,207.12 and 36,349.16 is: 50,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,643.27 : 89,207.12 = 36,349.16 : x
  2. Step 2: Convert to fraction form
    64,643.27/89,207.12 = 36,349.16/x
  3. Step 3: Cross multiply
    64,643.27x = 89,207.12 × 36,349.16
  4. Step 4: Simplify right side
    64,643.27x = 3,242,603,250.24
  5. Step 5: Solve for x
    x = 3,242,603,250.24/64,643.27
  6. Step 6: Final answer
    x = 50,161.50

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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.