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Finding the Fourth Proportional to 54,937, 82,356.63 and 19,868.86

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Solution

The fourth proportional to 54,937, 82,356.63 and 19,868.86 is: 29,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,937 : 82,356.63 = 19,868.86 : x
  2. Step 2: Convert to fraction form
    54,937/82,356.63 = 19,868.86/x
  3. Step 3: Cross multiply
    54,937x = 82,356.63 × 19,868.86
  4. Step 4: Simplify right side
    54,937x = 1,636,332,351.54
  5. Step 5: Solve for x
    x = 1,636,332,351.54/54,937
  6. Step 6: Final answer
    x = 29,785.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.