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Finding the Fourth Proportional to 54,334, 74,981.19 and 31,688.70

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Solution

The fourth proportional to 54,334, 74,981.19 and 31,688.70 is: 43,730.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,334 : 74,981.19 = 31,688.70 : x
  2. Step 2: Convert to fraction form
    54,334/74,981.19 = 31,688.70/x
  3. Step 3: Cross multiply
    54,334x = 74,981.19 × 31,688.70
  4. Step 4: Simplify right side
    54,334x = 2,376,056,435.55
  5. Step 5: Solve for x
    x = 2,376,056,435.55/54,334
  6. Step 6: Final answer
    x = 43,730.56

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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.