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Finding the Fourth Proportional to 33,084.46, 49,598.79 and 14,350.40

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Solution

The fourth proportional to 33,084.46, 49,598.79 and 14,350.40 is: 21,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,084.46 : 49,598.79 = 14,350.40 : x
  2. Step 2: Convert to fraction form
    33,084.46/49,598.79 = 14,350.40/x
  3. Step 3: Cross multiply
    33,084.46x = 49,598.79 × 14,350.40
  4. Step 4: Simplify right side
    33,084.46x = 711,762,278.02
  5. Step 5: Solve for x
    x = 711,762,278.02/33,084.46
  6. Step 6: Final answer
    x = 21,513.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.