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Finding the Fourth Proportional to 35,951.92, 53,928 and 10,991.87

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Solution

The fourth proportional to 35,951.92, 53,928 and 10,991.87 is: 16,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,951.92 : 53,928 = 10,991.87 : x
  2. Step 2: Convert to fraction form
    35,951.92/53,928 = 10,991.87/x
  3. Step 3: Cross multiply
    35,951.92x = 53,928 × 10,991.87
  4. Step 4: Simplify right side
    35,951.92x = 592,769,565.36
  5. Step 5: Solve for x
    x = 592,769,565.36/35,951.92
  6. Step 6: Final answer
    x = 16,487.84

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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.