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Finding the Fourth Proportional to 30,041.57, 45,064.03 and 13,402.75

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Solution

The fourth proportional to 30,041.57, 45,064.03 and 13,402.75 is: 20,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,041.57 : 45,064.03 = 13,402.75 : x
  2. Step 2: Convert to fraction form
    30,041.57/45,064.03 = 13,402.75/x
  3. Step 3: Cross multiply
    30,041.57x = 45,064.03 × 13,402.75
  4. Step 4: Simplify right side
    30,041.57x = 603,981,928.08
  5. Step 5: Solve for x
    x = 603,981,928.08/30,041.57
  6. Step 6: Final answer
    x = 20,104.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.