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Finding the Fourth Proportional to 68,658.82, 102,988.57 and 24,285.61

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Solution

The fourth proportional to 68,658.82, 102,988.57 and 24,285.61 is: 36,428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,658.82 : 102,988.57 = 24,285.61 : x
  2. Step 2: Convert to fraction form
    68,658.82/102,988.57 = 24,285.61/x
  3. Step 3: Cross multiply
    68,658.82x = 102,988.57 × 24,285.61
  4. Step 4: Simplify right side
    68,658.82x = 2,501,139,866.58
  5. Step 5: Solve for x
    x = 2,501,139,866.58/68,658.82
  6. Step 6: Final answer
    x = 36,428.53

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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.