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Finding the Fourth Proportional to 103,686.70, 155,530.05 and 41,401.90

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Solution

The fourth proportional to 103,686.70, 155,530.05 and 41,401.90 is: 62,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,686.70 : 155,530.05 = 41,401.90 : x
  2. Step 2: Convert to fraction form
    103,686.70/155,530.05 = 41,401.90/x
  3. Step 3: Cross multiply
    103,686.70x = 155,530.05 × 41,401.90
  4. Step 4: Simplify right side
    103,686.70x = 6,439,239,577.10
  5. Step 5: Solve for x
    x = 6,439,239,577.10/103,686.70
  6. Step 6: Final answer
    x = 62,102.85

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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.