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Finding the Fourth Proportional to 30,645.37, 45,887.85 and 20,082.16

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Solution

The fourth proportional to 30,645.37, 45,887.85 and 20,082.16 is: 30,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645.37 : 45,887.85 = 20,082.16 : x
  2. Step 2: Convert to fraction form
    30,645.37/45,887.85 = 20,082.16/x
  3. Step 3: Cross multiply
    30,645.37x = 45,887.85 × 20,082.16
  4. Step 4: Simplify right side
    30,645.37x = 921,527,031.04
  5. Step 5: Solve for x
    x = 921,527,031.04/30,645.37
  6. Step 6: Final answer
    x = 30,070.68

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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.