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Finding the Fourth Proportional to 106,241.62, 159,379.74 and 31,369.34

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Solution

The fourth proportional to 106,241.62, 159,379.74 and 31,369.34 is: 47,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,241.62 : 159,379.74 = 31,369.34 : x
  2. Step 2: Convert to fraction form
    106,241.62/159,379.74 = 31,369.34/x
  3. Step 3: Cross multiply
    106,241.62x = 159,379.74 × 31,369.34
  4. Step 4: Simplify right side
    106,241.62x = 4,999,637,253.17
  5. Step 5: Solve for x
    x = 4,999,637,253.17/106,241.62
  6. Step 6: Final answer
    x = 47,059.12

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1.5x scale

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.