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Finding the Fourth Proportional to 107,098.86, 160,692.35 and 47,096.46

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Solution

The fourth proportional to 107,098.86, 160,692.35 and 47,096.46 is: 70,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,098.86 : 160,692.35 = 47,096.46 : x
  2. Step 2: Convert to fraction form
    107,098.86/160,692.35 = 47,096.46/x
  3. Step 3: Cross multiply
    107,098.86x = 160,692.35 × 47,096.46
  4. Step 4: Simplify right side
    107,098.86x = 7,568,040,598.60
  5. Step 5: Solve for x
    x = 7,568,040,598.60/107,098.86
  6. Step 6: Final answer
    x = 70,664.06

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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.