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Finding the Fourth Proportional to 30,285.27, 45,428.00 and 9,225.45

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Solution

The fourth proportional to 30,285.27, 45,428.00 and 9,225.45 is: 13,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285.27 : 45,428.00 = 9,225.45 : x
  2. Step 2: Convert to fraction form
    30,285.27/45,428.00 = 9,225.45/x
  3. Step 3: Cross multiply
    30,285.27x = 45,428.00 × 9,225.45
  4. Step 4: Simplify right side
    30,285.27x = 419,093,696.47
  5. Step 5: Solve for x
    x = 419,093,696.47/30,285.27
  6. Step 6: Final answer
    x = 13,838.20

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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.