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Finding the Fourth Proportional to 88,200, 132,302.16 and 22,536

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Solution

The fourth proportional to 88,200, 132,302.16 and 22,536 is: 33,804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,200 : 132,302.16 = 22,536 : x
  2. Step 2: Convert to fraction form
    88,200/132,302.16 = 22,536/x
  3. Step 3: Cross multiply
    88,200x = 132,302.16 × 22,536
  4. Step 4: Simplify right side
    88,200x = 2,981,561,477.76
  5. Step 5: Solve for x
    x = 2,981,561,477.76/88,200
  6. Step 6: Final answer
    x = 33,804.55

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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.