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Finding the Fourth Proportional to 30,283.07, 45,424.67 and 9,223.20

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Solution

The fourth proportional to 30,283.07, 45,424.67 and 9,223.20 is: 13,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,283.07 : 45,424.67 = 9,223.20 : x
  2. Step 2: Convert to fraction form
    30,283.07/45,424.67 = 9,223.20/x
  3. Step 3: Cross multiply
    30,283.07x = 45,424.67 × 9,223.20
  4. Step 4: Simplify right side
    30,283.07x = 418,960,770.23
  5. Step 5: Solve for x
    x = 418,960,770.23/30,283.07
  6. Step 6: Final answer
    x = 13,834.82

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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.