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Finding the Fourth Proportional to 83,495.94, 115,224.80 and 49,961.94

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Solution

The fourth proportional to 83,495.94, 115,224.80 and 49,961.94 is: 68,947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,495.94 : 115,224.80 = 49,961.94 : x
  2. Step 2: Convert to fraction form
    83,495.94/115,224.80 = 49,961.94/x
  3. Step 3: Cross multiply
    83,495.94x = 115,224.80 × 49,961.94
  4. Step 4: Simplify right side
    83,495.94x = 5,756,854,544.11
  5. Step 5: Solve for x
    x = 5,756,854,544.11/83,495.94
  6. Step 6: Final answer
    x = 68,947.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.