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Finding the Fourth Proportional to 72,017.17, 107,881.07 and 35,884.64

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Solution

The fourth proportional to 72,017.17, 107,881.07 and 35,884.64 is: 53,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,017.17 : 107,881.07 = 35,884.64 : x
  2. Step 2: Convert to fraction form
    72,017.17/107,881.07 = 35,884.64/x
  3. Step 3: Cross multiply
    72,017.17x = 107,881.07 × 35,884.64
  4. Step 4: Simplify right side
    72,017.17x = 3,871,273,450.04
  5. Step 5: Solve for x
    x = 3,871,273,450.04/72,017.17
  6. Step 6: Final answer
    x = 53,754.87

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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.