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Finding the Fourth Proportional to 85,194.06, 117,563 and 46,953.49

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Solution

The fourth proportional to 85,194.06, 117,563 and 46,953.49 is: 64,793.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,194.06 : 117,563 = 46,953.49 : x
  2. Step 2: Convert to fraction form
    85,194.06/117,563 = 46,953.49/x
  3. Step 3: Cross multiply
    85,194.06x = 117,563 × 46,953.49
  4. Step 4: Simplify right side
    85,194.06x = 5,519,992,557.06
  5. Step 5: Solve for x
    x = 5,519,992,557.06/85,194.06
  6. Step 6: Final answer
    x = 64,793.17

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