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Finding the Fourth Proportional to 65,768.72, 98,643.32 and 24,206

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Solution

The fourth proportional to 65,768.72, 98,643.32 and 24,206 is: 36,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,768.72 : 98,643.32 = 24,206 : x
  2. Step 2: Convert to fraction form
    65,768.72/98,643.32 = 24,206/x
  3. Step 3: Cross multiply
    65,768.72x = 98,643.32 × 24,206
  4. Step 4: Simplify right side
    65,768.72x = 2,387,760,203.92
  5. Step 5: Solve for x
    x = 2,387,760,203.92/65,768.72
  6. Step 6: Final answer
    x = 36,305.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.