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Finding the Fourth Proportional to 30,258.45, 45,388.01 and 9,201.92

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Solution

The fourth proportional to 30,258.45, 45,388.01 and 9,201.92 is: 13,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258.45 : 45,388.01 = 9,201.92 : x
  2. Step 2: Convert to fraction form
    30,258.45/45,388.01 = 9,201.92/x
  3. Step 3: Cross multiply
    30,258.45x = 45,388.01 × 9,201.92
  4. Step 4: Simplify right side
    30,258.45x = 417,656,564.03
  5. Step 5: Solve for x
    x = 417,656,564.03/30,258.45
  6. Step 6: Final answer
    x = 13,802.97

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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.