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Finding the Fourth Proportional to 78,684, 108,583.92 and 43,356

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Solution

The fourth proportional to 78,684, 108,583.92 and 43,356 is: 59,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,684 : 108,583.92 = 43,356 : x
  2. Step 2: Convert to fraction form
    78,684/108,583.92 = 43,356/x
  3. Step 3: Cross multiply
    78,684x = 108,583.92 × 43,356
  4. Step 4: Simplify right side
    78,684x = 4,707,764,435.52
  5. Step 5: Solve for x
    x = 4,707,764,435.52/78,684
  6. Step 6: Final answer
    x = 59,831.28

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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.