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Finding the Fourth Proportional to 48,978.27, 67,595.49 and 28,840.14

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Solution

The fourth proportional to 48,978.27, 67,595.49 and 28,840.14 is: 39,802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,978.27 : 67,595.49 = 28,840.14 : x
  2. Step 2: Convert to fraction form
    48,978.27/67,595.49 = 28,840.14/x
  3. Step 3: Cross multiply
    48,978.27x = 67,595.49 × 28,840.14
  4. Step 4: Simplify right side
    48,978.27x = 1,949,463,394.97
  5. Step 5: Solve for x
    x = 1,949,463,394.97/48,978.27
  6. Step 6: Final answer
    x = 39,802.62

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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.