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Finding the Fourth Proportional to 73,284.72, 109,914.66 and 20,681.88

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Solution

The fourth proportional to 73,284.72, 109,914.66 and 20,681.88 is: 31,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,284.72 : 109,914.66 = 20,681.88 : x
  2. Step 2: Convert to fraction form
    73,284.72/109,914.66 = 20,681.88/x
  3. Step 3: Cross multiply
    73,284.72x = 109,914.66 × 20,681.88
  4. Step 4: Simplify right side
    73,284.72x = 2,273,241,808.36
  5. Step 5: Solve for x
    x = 2,273,241,808.36/73,284.72
  6. Step 6: Final answer
    x = 31,019.31

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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.