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Finding the Fourth Proportional to 73,825.63, 110,753.06 and 27,078.91

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Solution

The fourth proportional to 73,825.63, 110,753.06 and 27,078.91 is: 40,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,825.63 : 110,753.06 = 27,078.91 : x
  2. Step 2: Convert to fraction form
    73,825.63/110,753.06 = 27,078.91/x
  3. Step 3: Cross multiply
    73,825.63x = 110,753.06 × 27,078.91
  4. Step 4: Simplify right side
    73,825.63x = 2,999,071,731.69
  5. Step 5: Solve for x
    x = 2,999,071,731.69/73,825.63
  6. Step 6: Final answer
    x = 40,623.72

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Why These Related Problems?

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