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Finding the Fourth Proportional to 30,197.00, 45,298.24 and 10,206

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Solution

The fourth proportional to 30,197.00, 45,298.24 and 10,206 is: 15,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197.00 : 45,298.24 = 10,206 : x
  2. Step 2: Convert to fraction form
    30,197.00/45,298.24 = 10,206/x
  3. Step 3: Cross multiply
    30,197.00x = 45,298.24 × 10,206
  4. Step 4: Simplify right side
    30,197.00x = 462,313,811.93
  5. Step 5: Solve for x
    x = 462,313,811.93/30,197.00
  6. Step 6: Final answer
    x = 15,309.92

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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.