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Finding the Fourth Proportional to 107,084.78, 160,629.78 and 36,008.45

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Solution

The fourth proportional to 107,084.78, 160,629.78 and 36,008.45 is: 54,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,084.78 : 160,629.78 = 36,008.45 : x
  2. Step 2: Convert to fraction form
    107,084.78/160,629.78 = 36,008.45/x
  3. Step 3: Cross multiply
    107,084.78x = 160,629.78 × 36,008.45
  4. Step 4: Simplify right side
    107,084.78x = 5,784,029,401.64
  5. Step 5: Solve for x
    x = 5,784,029,401.64/107,084.78
  6. Step 6: Final answer
    x = 54,013.55

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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.