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Finding the Fourth Proportional to 67,802.15, 101,679.63 and 27,809.78

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Solution

The fourth proportional to 67,802.15, 101,679.63 and 27,809.78 is: 41,704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,802.15 : 101,679.63 = 27,809.78 : x
  2. Step 2: Convert to fraction form
    67,802.15/101,679.63 = 27,809.78/x
  3. Step 3: Cross multiply
    67,802.15x = 101,679.63 × 27,809.78
  4. Step 4: Simplify right side
    67,802.15x = 2,827,687,528.10
  5. Step 5: Solve for x
    x = 2,827,687,528.10/67,802.15
  6. Step 6: Final answer
    x = 41,704.98

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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.