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Finding the Fourth Proportional to 32,067.84, 48,098.16 and 8,696.10

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Solution

The fourth proportional to 32,067.84, 48,098.16 and 8,696.10 is: 13,043.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,067.84 : 48,098.16 = 8,696.10 : x
  2. Step 2: Convert to fraction form
    32,067.84/48,098.16 = 8,696.10/x
  3. Step 3: Cross multiply
    32,067.84x = 48,098.16 × 8,696.10
  4. Step 4: Simplify right side
    32,067.84x = 418,266,409.18
  5. Step 5: Solve for x
    x = 418,266,409.18/32,067.84
  6. Step 6: Final answer
    x = 13,043.17

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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.