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Finding the Fourth Proportional to 110,013.72, 164,865.06 and 54,648.60

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Solution

The fourth proportional to 110,013.72, 164,865.06 and 54,648.60 is: 81,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,013.72 : 164,865.06 = 54,648.60 : x
  2. Step 2: Convert to fraction form
    110,013.72/164,865.06 = 54,648.60/x
  3. Step 3: Cross multiply
    110,013.72x = 164,865.06 × 54,648.60
  4. Step 4: Simplify right side
    110,013.72x = 9,009,644,717.92
  5. Step 5: Solve for x
    x = 9,009,644,717.92/110,013.72
  6. Step 6: Final answer
    x = 81,895.65

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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.