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Finding the Fourth Proportional to 78,653.70, 117,882.06 and 61,947.75

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Solution

The fourth proportional to 78,653.70, 117,882.06 and 61,947.75 is: 92,844.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,653.70 : 117,882.06 = 61,947.75 : x
  2. Step 2: Convert to fraction form
    78,653.70/117,882.06 = 61,947.75/x
  3. Step 3: Cross multiply
    78,653.70x = 117,882.06 × 61,947.75
  4. Step 4: Simplify right side
    78,653.70x = 7,302,528,382.37
  5. Step 5: Solve for x
    x = 7,302,528,382.37/78,653.70
  6. Step 6: Final answer
    x = 92,844.05

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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.