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Finding the Fourth Proportional to 33,688.40, 46,509 and 23,358.80

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Solution

The fourth proportional to 33,688.40, 46,509 and 23,358.80 is: 32,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,688.40 : 46,509 = 23,358.80 : x
  2. Step 2: Convert to fraction form
    33,688.40/46,509 = 23,358.80/x
  3. Step 3: Cross multiply
    33,688.40x = 46,509 × 23,358.80
  4. Step 4: Simplify right side
    33,688.40x = 1,086,394,429.20
  5. Step 5: Solve for x
    x = 1,086,394,429.20/33,688.40
  6. Step 6: Final answer
    x = 32,248.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.