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Finding the Fourth Proportional to 88,641.88, 132,923.84 and 33,199

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Solution

The fourth proportional to 88,641.88, 132,923.84 and 33,199 is: 49,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,641.88 : 132,923.84 = 33,199 : x
  2. Step 2: Convert to fraction form
    88,641.88/132,923.84 = 33,199/x
  3. Step 3: Cross multiply
    88,641.88x = 132,923.84 × 33,199
  4. Step 4: Simplify right side
    88,641.88x = 4,412,938,564.16
  5. Step 5: Solve for x
    x = 4,412,938,564.16/88,641.88
  6. Step 6: Final answer
    x = 49,783.90

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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.