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Finding the Fourth Proportional to 85,497.60, 117,983 and 47,255.16

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Solution

The fourth proportional to 85,497.60, 117,983 and 47,255.16 is: 65,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,497.60 : 117,983 = 47,255.16 : x
  2. Step 2: Convert to fraction form
    85,497.60/117,983 = 47,255.16/x
  3. Step 3: Cross multiply
    85,497.60x = 117,983 × 47,255.16
  4. Step 4: Simplify right side
    85,497.60x = 5,575,305,542.28
  5. Step 5: Solve for x
    x = 5,575,305,542.28/85,497.60
  6. Step 6: Final answer
    x = 65,210.08

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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.