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Finding the Fourth Proportional to 48,920.94, 67,511.16 and 27,704.34

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Solution

The fourth proportional to 48,920.94, 67,511.16 and 27,704.34 is: 38,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,920.94 : 67,511.16 = 27,704.34 : x
  2. Step 2: Convert to fraction form
    48,920.94/67,511.16 = 27,704.34/x
  3. Step 3: Cross multiply
    48,920.94x = 67,511.16 × 27,704.34
  4. Step 4: Simplify right side
    48,920.94x = 1,870,352,130.43
  5. Step 5: Solve for x
    x = 1,870,352,130.43/48,920.94
  6. Step 6: Final answer
    x = 38,232.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.