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Finding the Fourth Proportional to 85,411.14, 117,858.42 and 49,594.16

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Solution

The fourth proportional to 85,411.14, 117,858.42 and 49,594.16 is: 68,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,411.14 : 117,858.42 = 49,594.16 : x
  2. Step 2: Convert to fraction form
    85,411.14/117,858.42 = 49,594.16/x
  3. Step 3: Cross multiply
    85,411.14x = 117,858.42 × 49,594.16
  4. Step 4: Simplify right side
    85,411.14x = 5,845,088,749.54
  5. Step 5: Solve for x
    x = 5,845,088,749.54/85,411.14
  6. Step 6: Final answer
    x = 68,434.74

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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.