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Finding the Fourth Proportional to 107,076.78, 160,617.78 and 36,000.45

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Solution

The fourth proportional to 107,076.78, 160,617.78 and 36,000.45 is: 54,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,076.78 : 160,617.78 = 36,000.45 : x
  2. Step 2: Convert to fraction form
    107,076.78/160,617.78 = 36,000.45/x
  3. Step 3: Cross multiply
    107,076.78x = 160,617.78 × 36,000.45
  4. Step 4: Simplify right side
    107,076.78x = 5,782,312,358.00
  5. Step 5: Solve for x
    x = 5,782,312,358.00/107,076.78
  6. Step 6: Final answer
    x = 54,001.55

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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.