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Finding the Fourth Proportional to 30,258.57, 45,387.84 and 9,198.78

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Solution

The fourth proportional to 30,258.57, 45,387.84 and 9,198.78 is: 13,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258.57 : 45,387.84 = 9,198.78 : x
  2. Step 2: Convert to fraction form
    30,258.57/45,387.84 = 9,198.78/x
  3. Step 3: Cross multiply
    30,258.57x = 45,387.84 × 9,198.78
  4. Step 4: Simplify right side
    30,258.57x = 417,512,754.84
  5. Step 5: Solve for x
    x = 417,512,754.84/30,258.57
  6. Step 6: Final answer
    x = 13,798.17

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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.