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Finding the Fourth Proportional to 85,054.64, 117,355.38 and 71,494.23

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Solution

The fourth proportional to 85,054.64, 117,355.38 and 71,494.23 is: 98,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,054.64 : 117,355.38 = 71,494.23 : x
  2. Step 2: Convert to fraction form
    85,054.64/117,355.38 = 71,494.23/x
  3. Step 3: Cross multiply
    85,054.64x = 117,355.38 × 71,494.23
  4. Step 4: Simplify right side
    85,054.64x = 8,390,232,529.46
  5. Step 5: Solve for x
    x = 8,390,232,529.46/85,054.64
  6. Step 6: Final answer
    x = 98,645.21

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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.