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Finding the Fourth Proportional to 48,802.72, 67,344.04 and 27,583.96

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Solution

The fourth proportional to 48,802.72, 67,344.04 and 27,583.96 is: 38,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,802.72 : 67,344.04 = 27,583.96 : x
  2. Step 2: Convert to fraction form
    48,802.72/67,344.04 = 27,583.96/x
  3. Step 3: Cross multiply
    48,802.72x = 67,344.04 × 27,583.96
  4. Step 4: Simplify right side
    48,802.72x = 1,857,615,305.60
  5. Step 5: Solve for x
    x = 1,857,615,305.60/48,802.72
  6. Step 6: Final answer
    x = 38,063.77

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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.