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Finding the Fourth Proportional to 33,154.50, 49,752.48 and 13,433.16

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Solution

The fourth proportional to 33,154.50, 49,752.48 and 13,433.16 is: 20,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,154.50 : 49,752.48 = 13,433.16 : x
  2. Step 2: Convert to fraction form
    33,154.50/49,752.48 = 13,433.16/x
  3. Step 3: Cross multiply
    33,154.50x = 49,752.48 × 13,433.16
  4. Step 4: Simplify right side
    33,154.50x = 668,333,024.24
  5. Step 5: Solve for x
    x = 668,333,024.24/33,154.50
  6. Step 6: Final answer
    x = 20,158.14

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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.