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Finding the Fourth Proportional to 107,762.67, 161,648.46 and 41,207.67

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Solution

The fourth proportional to 107,762.67, 161,648.46 and 41,207.67 is: 61,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,762.67 : 161,648.46 = 41,207.67 : x
  2. Step 2: Convert to fraction form
    107,762.67/161,648.46 = 41,207.67/x
  3. Step 3: Cross multiply
    107,762.67x = 161,648.46 × 41,207.67
  4. Step 4: Simplify right side
    107,762.67x = 6,661,156,395.69
  5. Step 5: Solve for x
    x = 6,661,156,395.69/107,762.67
  6. Step 6: Final answer
    x = 61,813.21

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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.