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Finding the Fourth Proportional to 88,364.32, 132,542.16 and 32,956

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Solution

The fourth proportional to 88,364.32, 132,542.16 and 32,956 is: 49,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,364.32 : 132,542.16 = 32,956 : x
  2. Step 2: Convert to fraction form
    88,364.32/132,542.16 = 32,956/x
  3. Step 3: Cross multiply
    88,364.32x = 132,542.16 × 32,956
  4. Step 4: Simplify right side
    88,364.32x = 4,368,059,424.96
  5. Step 5: Solve for x
    x = 4,368,059,424.96/88,364.32
  6. Step 6: Final answer
    x = 49,432.39

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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.