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Finding the Fourth Proportional to 85,382.16, 117,831.32 and 47,147.10

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Solution

The fourth proportional to 85,382.16, 117,831.32 and 47,147.10 is: 65,065.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,382.16 : 117,831.32 = 47,147.10 : x
  2. Step 2: Convert to fraction form
    85,382.16/117,831.32 = 47,147.10/x
  3. Step 3: Cross multiply
    85,382.16x = 117,831.32 × 47,147.10
  4. Step 4: Simplify right side
    85,382.16x = 5,555,404,202.28
  5. Step 5: Solve for x
    x = 5,555,404,202.28/85,382.16
  6. Step 6: Final answer
    x = 65,065.17

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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.