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Finding the Fourth Proportional to 30,285.33, 45,430.30 and 9,227.16

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Solution

The fourth proportional to 30,285.33, 45,430.30 and 9,227.16 is: 13,841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285.33 : 45,430.30 = 9,227.16 : x
  2. Step 2: Convert to fraction form
    30,285.33/45,430.30 = 9,227.16/x
  3. Step 3: Cross multiply
    30,285.33x = 45,430.30 × 9,227.16
  4. Step 4: Simplify right side
    30,285.33x = 419,192,819.53
  5. Step 5: Solve for x
    x = 419,192,819.53/30,285.33
  6. Step 6: Final answer
    x = 13,841.45

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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.