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Finding the Fourth Proportional to 88,644.16, 132,965.22 and 25,465.84

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Solution

The fourth proportional to 88,644.16, 132,965.22 and 25,465.84 is: 38,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,644.16 : 132,965.22 = 25,465.84 : x
  2. Step 2: Convert to fraction form
    88,644.16/132,965.22 = 25,465.84/x
  3. Step 3: Cross multiply
    88,644.16x = 132,965.22 × 25,465.84
  4. Step 4: Simplify right side
    88,644.16x = 3,386,071,018.08
  5. Step 5: Solve for x
    x = 3,386,071,018.08/88,644.16
  6. Step 6: Final answer
    x = 38,198.47

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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.