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Finding the Fourth Proportional to 33,153.40, 49,730.10 and 13,432.60

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Solution

The fourth proportional to 33,153.40, 49,730.10 and 13,432.60 is: 20,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,153.40 : 49,730.10 = 13,432.60 : x
  2. Step 2: Convert to fraction form
    33,153.40/49,730.10 = 13,432.60/x
  3. Step 3: Cross multiply
    33,153.40x = 49,730.10 × 13,432.60
  4. Step 4: Simplify right side
    33,153.40x = 668,004,541.26
  5. Step 5: Solve for x
    x = 668,004,541.26/33,153.40
  6. Step 6: Final answer
    x = 20,148.90

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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.