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Finding the Fourth Proportional to 114,416.29, 171,624.48 and 31,310.29

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Solution

The fourth proportional to 114,416.29, 171,624.48 and 31,310.29 is: 46,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,416.29 : 171,624.48 = 31,310.29 : x
  2. Step 2: Convert to fraction form
    114,416.29/171,624.48 = 31,310.29/x
  3. Step 3: Cross multiply
    114,416.29x = 171,624.48 × 31,310.29
  4. Step 4: Simplify right side
    114,416.29x = 5,373,612,239.90
  5. Step 5: Solve for x
    x = 5,373,612,239.90/114,416.29
  6. Step 6: Final answer
    x = 46,965.45

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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.