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Finding the Fourth Proportional to 30,107.34, 45,167.28 and 9,046.53

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Solution

The fourth proportional to 30,107.34, 45,167.28 and 9,046.53 is: 13,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,107.34 : 45,167.28 = 9,046.53 : x
  2. Step 2: Convert to fraction form
    30,107.34/45,167.28 = 9,046.53/x
  3. Step 3: Cross multiply
    30,107.34x = 45,167.28 × 9,046.53
  4. Step 4: Simplify right side
    30,107.34x = 408,607,153.54
  5. Step 5: Solve for x
    x = 408,607,153.54/30,107.34
  6. Step 6: Final answer
    x = 13,571.68

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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.