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Finding the Fourth Proportional to 30,202.32, 45,285.54 and 11,483.73

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Solution

The fourth proportional to 30,202.32, 45,285.54 and 11,483.73 is: 17,218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.32 : 45,285.54 = 11,483.73 : x
  2. Step 2: Convert to fraction form
    30,202.32/45,285.54 = 11,483.73/x
  3. Step 3: Cross multiply
    30,202.32x = 45,285.54 × 11,483.73
  4. Step 4: Simplify right side
    30,202.32x = 520,046,630.42
  5. Step 5: Solve for x
    x = 520,046,630.42/30,202.32
  6. Step 6: Final answer
    x = 17,218.76

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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.