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Finding the Fourth Proportional to 30,258.58, 45,388.19 and 9,202.04

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Solution

The fourth proportional to 30,258.58, 45,388.19 and 9,202.04 is: 13,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258.58 : 45,388.19 = 9,202.04 : x
  2. Step 2: Convert to fraction form
    30,258.58/45,388.19 = 9,202.04/x
  3. Step 3: Cross multiply
    30,258.58x = 45,388.19 × 9,202.04
  4. Step 4: Simplify right side
    30,258.58x = 417,663,893.90
  5. Step 5: Solve for x
    x = 417,663,893.90/30,258.58
  6. Step 6: Final answer
    x = 13,803.16

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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.