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Finding the Fourth Proportional to 64,021.92, 88,350.92 and 35,727

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Solution

The fourth proportional to 64,021.92, 88,350.92 and 35,727 is: 49,303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,021.92 : 88,350.92 = 35,727 : x
  2. Step 2: Convert to fraction form
    64,021.92/88,350.92 = 35,727/x
  3. Step 3: Cross multiply
    64,021.92x = 88,350.92 × 35,727
  4. Step 4: Simplify right side
    64,021.92x = 3,156,513,318.84
  5. Step 5: Solve for x
    x = 3,156,513,318.84/64,021.92
  6. Step 6: Final answer
    x = 49,303.63

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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.