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Finding the Fourth Proportional to 129,641.42, 194,462.09 and 31,145.42

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Solution

The fourth proportional to 129,641.42, 194,462.09 and 31,145.42 is: 46,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,641.42 : 194,462.09 = 31,145.42 : x
  2. Step 2: Convert to fraction form
    129,641.42/194,462.09 = 31,145.42/x
  3. Step 3: Cross multiply
    129,641.42x = 194,462.09 × 31,145.42
  4. Step 4: Simplify right side
    129,641.42x = 6,056,603,311.40
  5. Step 5: Solve for x
    x = 6,056,603,311.40/129,641.42
  6. Step 6: Final answer
    x = 46,718.12

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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.