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Finding the Fourth Proportional to 107,865.80, 161,871.60 and 37,745.72

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Solution

The fourth proportional to 107,865.80, 161,871.60 and 37,745.72 is: 56,644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,865.80 : 161,871.60 = 37,745.72 : x
  2. Step 2: Convert to fraction form
    107,865.80/161,871.60 = 37,745.72/x
  3. Step 3: Cross multiply
    107,865.80x = 161,871.60 × 37,745.72
  4. Step 4: Simplify right side
    107,865.80x = 6,109,960,089.55
  5. Step 5: Solve for x
    x = 6,109,960,089.55/107,865.80
  6. Step 6: Final answer
    x = 56,644.09

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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.