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Finding the Fourth Proportional to 55,496.96, 83,162.96 and 33,284.32

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Solution

The fourth proportional to 55,496.96, 83,162.96 and 33,284.32 is: 49,877.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,496.96 : 83,162.96 = 33,284.32 : x
  2. Step 2: Convert to fraction form
    55,496.96/83,162.96 = 33,284.32/x
  3. Step 3: Cross multiply
    55,496.96x = 83,162.96 × 33,284.32
  4. Step 4: Simplify right side
    55,496.96x = 2,768,022,572.79
  5. Step 5: Solve for x
    x = 2,768,022,572.79/55,496.96
  6. Step 6: Final answer
    x = 49,877.01

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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.