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Finding the Fourth Proportional to 67,821.66, 101,695.14 and 53,871.12

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Solution

The fourth proportional to 67,821.66, 101,695.14 and 53,871.12 is: 80,777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,821.66 : 101,695.14 = 53,871.12 : x
  2. Step 2: Convert to fraction form
    67,821.66/101,695.14 = 53,871.12/x
  3. Step 3: Cross multiply
    67,821.66x = 101,695.14 × 53,871.12
  4. Step 4: Simplify right side
    67,821.66x = 5,478,431,090.36
  5. Step 5: Solve for x
    x = 5,478,431,090.36/67,821.66
  6. Step 6: Final answer
    x = 80,777.01

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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.