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Finding the Fourth Proportional to 30,410.22, 45,616.02 and 24,174.54

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Solution

The fourth proportional to 30,410.22, 45,616.02 and 24,174.54 is: 36,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,410.22 : 45,616.02 = 24,174.54 : x
  2. Step 2: Convert to fraction form
    30,410.22/45,616.02 = 24,174.54/x
  3. Step 3: Cross multiply
    30,410.22x = 45,616.02 × 24,174.54
  4. Step 4: Simplify right side
    30,410.22x = 1,102,746,300.13
  5. Step 5: Solve for x
    x = 1,102,746,300.13/30,410.22
  6. Step 6: Final answer
    x = 36,262.36

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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.