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Finding the Fourth Proportional to 106,972.74, 160,408.65 and 39,487.74

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Solution

The fourth proportional to 106,972.74, 160,408.65 and 39,487.74 is: 59,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,972.74 : 160,408.65 = 39,487.74 : x
  2. Step 2: Convert to fraction form
    106,972.74/160,408.65 = 39,487.74/x
  3. Step 3: Cross multiply
    106,972.74x = 160,408.65 × 39,487.74
  4. Step 4: Simplify right side
    106,972.74x = 6,334,175,064.95
  5. Step 5: Solve for x
    x = 6,334,175,064.95/106,972.74
  6. Step 6: Final answer
    x = 59,212.98

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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.