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Finding the Fourth Proportional to 68,616.18, 102,818.01 and 47,597.10

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Solution

The fourth proportional to 68,616.18, 102,818.01 and 47,597.10 is: 71,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,616.18 : 102,818.01 = 47,597.10 : x
  2. Step 2: Convert to fraction form
    68,616.18/102,818.01 = 47,597.10/x
  3. Step 3: Cross multiply
    68,616.18x = 102,818.01 × 47,597.10
  4. Step 4: Simplify right side
    68,616.18x = 4,893,839,103.77
  5. Step 5: Solve for x
    x = 4,893,839,103.77/68,616.18
  6. Step 6: Final answer
    x = 71,321.94

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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.