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Finding the Fourth Proportional to 89,489.61, 134,206.01 and 30,311.42

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Solution

The fourth proportional to 89,489.61, 134,206.01 and 30,311.42 is: 45,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,489.61 : 134,206.01 = 30,311.42 : x
  2. Step 2: Convert to fraction form
    89,489.61/134,206.01 = 30,311.42/x
  3. Step 3: Cross multiply
    89,489.61x = 134,206.01 × 30,311.42
  4. Step 4: Simplify right side
    89,489.61x = 4,067,974,197.22
  5. Step 5: Solve for x
    x = 4,067,974,197.22/89,489.61
  6. Step 6: Final answer
    x = 45,457.50

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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.