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Finding the Fourth Proportional to 85,407.74, 117,863.29 and 47,166.22

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Solution

The fourth proportional to 85,407.74, 117,863.29 and 47,166.22 is: 65,089.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,407.74 : 117,863.29 = 47,166.22 : x
  2. Step 2: Convert to fraction form
    85,407.74/117,863.29 = 47,166.22/x
  3. Step 3: Cross multiply
    85,407.74x = 117,863.29 × 47,166.22
  4. Step 4: Simplify right side
    85,407.74x = 5,559,165,866.06
  5. Step 5: Solve for x
    x = 5,559,165,866.06/85,407.74
  6. Step 6: Final answer
    x = 65,089.72

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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.