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Finding the Fourth Proportional to 29,920.25, 44,880.38 and 8,032.25

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Solution

The fourth proportional to 29,920.25, 44,880.38 and 8,032.25 is: 12,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,920.25 : 44,880.38 = 8,032.25 : x
  2. Step 2: Convert to fraction form
    29,920.25/44,880.38 = 8,032.25/x
  3. Step 3: Cross multiply
    29,920.25x = 44,880.38 × 8,032.25
  4. Step 4: Simplify right side
    29,920.25x = 360,490,432.26
  5. Step 5: Solve for x
    x = 360,490,432.26/29,920.25
  6. Step 6: Final answer
    x = 12,048.38

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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.