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Finding the Fourth Proportional to 68,384.25, 102,624.57 and 24,014.46

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Solution

The fourth proportional to 68,384.25, 102,624.57 and 24,014.46 is: 36,038.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,384.25 : 102,624.57 = 24,014.46 : x
  2. Step 2: Convert to fraction form
    68,384.25/102,624.57 = 24,014.46/x
  3. Step 3: Cross multiply
    68,384.25x = 102,624.57 × 24,014.46
  4. Step 4: Simplify right side
    68,384.25x = 2,464,473,631.28
  5. Step 5: Solve for x
    x = 2,464,473,631.28/68,384.25
  6. Step 6: Final answer
    x = 36,038.61

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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.