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Finding the Fourth Proportional to 85,457.28, 117,932.88 and 47,731.60

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Solution

The fourth proportional to 85,457.28, 117,932.88 and 47,731.60 is: 65,870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,457.28 : 117,932.88 = 47,731.60 : x
  2. Step 2: Convert to fraction form
    85,457.28/117,932.88 = 47,731.60/x
  3. Step 3: Cross multiply
    85,457.28x = 117,932.88 × 47,731.60
  4. Step 4: Simplify right side
    85,457.28x = 5,629,125,055.01
  5. Step 5: Solve for x
    x = 5,629,125,055.01/85,457.28
  6. Step 6: Final answer
    x = 65,870.63

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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.