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Finding the Fourth Proportional to 88,274.52, 132,370.16 and 32,075

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Solution

The fourth proportional to 88,274.52, 132,370.16 and 32,075 is: 48,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,274.52 : 132,370.16 = 32,075 : x
  2. Step 2: Convert to fraction form
    88,274.52/132,370.16 = 32,075/x
  3. Step 3: Cross multiply
    88,274.52x = 132,370.16 × 32,075
  4. Step 4: Simplify right side
    88,274.52x = 4,245,772,882
  5. Step 5: Solve for x
    x = 4,245,772,882/88,274.52
  6. Step 6: Final answer
    x = 48,097.38

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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.