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Finding the Fourth Proportional to 68,051.48, 102,097.95 and 34,794.90

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Solution

The fourth proportional to 68,051.48, 102,097.95 and 34,794.90 is: 52,202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,051.48 : 102,097.95 = 34,794.90 : x
  2. Step 2: Convert to fraction form
    68,051.48/102,097.95 = 34,794.90/x
  3. Step 3: Cross multiply
    68,051.48x = 102,097.95 × 34,794.90
  4. Step 4: Simplify right side
    68,051.48x = 3,552,487,960.46
  5. Step 5: Solve for x
    x = 3,552,487,960.46/68,051.48
  6. Step 6: Final answer
    x = 52,202.95

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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.