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Finding the Fourth Proportional to 83,880, 115,755.21 and 46,155.06

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Solution

The fourth proportional to 83,880, 115,755.21 and 46,155.06 is: 63,694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,880 : 115,755.21 = 46,155.06 : x
  2. Step 2: Convert to fraction form
    83,880/115,755.21 = 46,155.06/x
  3. Step 3: Cross multiply
    83,880x = 115,755.21 × 46,155.06
  4. Step 4: Simplify right side
    83,880x = 5,342,688,662.86
  5. Step 5: Solve for x
    x = 5,342,688,662.86/83,880
  6. Step 6: Final answer
    x = 63,694.43

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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.