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Finding the Fourth Proportional to 68,428.74, 102,572.94 and 32,838.42

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Solution

The fourth proportional to 68,428.74, 102,572.94 and 32,838.42 is: 49,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,428.74 : 102,572.94 = 32,838.42 : x
  2. Step 2: Convert to fraction form
    68,428.74/102,572.94 = 32,838.42/x
  3. Step 3: Cross multiply
    68,428.74x = 102,572.94 × 32,838.42
  4. Step 4: Simplify right side
    68,428.74x = 3,368,333,284.35
  5. Step 5: Solve for x
    x = 3,368,333,284.35/68,428.74
  6. Step 6: Final answer
    x = 49,223.96

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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.