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Finding the Fourth Proportional to 114,283.50, 171,392.15 and 34,318.24

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Solution

The fourth proportional to 114,283.50, 171,392.15 and 34,318.24 is: 51,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,283.50 : 171,392.15 = 34,318.24 : x
  2. Step 2: Convert to fraction form
    114,283.50/171,392.15 = 34,318.24/x
  3. Step 3: Cross multiply
    114,283.50x = 171,392.15 × 34,318.24
  4. Step 4: Simplify right side
    114,283.50x = 5,881,876,595.13
  5. Step 5: Solve for x
    x = 5,881,876,595.13/114,283.50
  6. Step 6: Final answer
    x = 51,467.42

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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.