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Finding the Fourth Proportional to 30,206.93, 45,313.11 and 12,433.46

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Solution

The fourth proportional to 30,206.93, 45,313.11 and 12,433.46 is: 18,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,206.93 : 45,313.11 = 12,433.46 : x
  2. Step 2: Convert to fraction form
    30,206.93/45,313.11 = 12,433.46/x
  3. Step 3: Cross multiply
    30,206.93x = 45,313.11 × 12,433.46
  4. Step 4: Simplify right side
    30,206.93x = 563,398,514.10
  5. Step 5: Solve for x
    x = 563,398,514.10/30,206.93
  6. Step 6: Final answer
    x = 18,651.30

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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.