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Finding the Fourth Proportional to 85,204.56, 117,589.07 and 46,970.91

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Solution

The fourth proportional to 85,204.56, 117,589.07 and 46,970.91 is: 64,823.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,204.56 : 117,589.07 = 46,970.91 : x
  2. Step 2: Convert to fraction form
    85,204.56/117,589.07 = 46,970.91/x
  3. Step 3: Cross multiply
    85,204.56x = 117,589.07 × 46,970.91
  4. Step 4: Simplify right side
    85,204.56x = 5,523,265,623.95
  5. Step 5: Solve for x
    x = 5,523,265,623.95/85,204.56
  6. Step 6: Final answer
    x = 64,823.59

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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.