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Finding the Fourth Proportional to 114,282.79, 171,422.36 and 31,176.79

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Solution

The fourth proportional to 114,282.79, 171,422.36 and 31,176.79 is: 46,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,282.79 : 171,422.36 = 31,176.79 : x
  2. Step 2: Convert to fraction form
    114,282.79/171,422.36 = 31,176.79/x
  3. Step 3: Cross multiply
    114,282.79x = 171,422.36 × 31,176.79
  4. Step 4: Simplify right side
    114,282.79x = 5,344,398,919.02
  5. Step 5: Solve for x
    x = 5,344,398,919.02/114,282.79
  6. Step 6: Final answer
    x = 46,764.69

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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.