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Finding the Fourth Proportional to 117,115.50, 175,678.11 and 34,009.50

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Solution

The fourth proportional to 117,115.50, 175,678.11 and 34,009.50 is: 51,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,115.50 : 175,678.11 = 34,009.50 : x
  2. Step 2: Convert to fraction form
    117,115.50/175,678.11 = 34,009.50/x
  3. Step 3: Cross multiply
    117,115.50x = 175,678.11 × 34,009.50
  4. Step 4: Simplify right side
    117,115.50x = 5,974,724,682.05
  5. Step 5: Solve for x
    x = 5,974,724,682.05/117,115.50
  6. Step 6: Final answer
    x = 51,015.66

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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.