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Finding the Fourth Proportional to 85,328.24, 117,753 and 47,601.68

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Solution

The fourth proportional to 85,328.24, 117,753 and 47,601.68 is: 65,690.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,328.24 : 117,753 = 47,601.68 : x
  2. Step 2: Convert to fraction form
    85,328.24/117,753 = 47,601.68/x
  3. Step 3: Cross multiply
    85,328.24x = 117,753 × 47,601.68
  4. Step 4: Simplify right side
    85,328.24x = 5,605,240,625.04
  5. Step 5: Solve for x
    x = 5,605,240,625.04/85,328.24
  6. Step 6: Final answer
    x = 65,690.33

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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.