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Finding the Fourth Proportional to 114,623.10, 171,959.22 and 34,654.23

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Solution

The fourth proportional to 114,623.10, 171,959.22 and 34,654.23 is: 51,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,623.10 : 171,959.22 = 34,654.23 : x
  2. Step 2: Convert to fraction form
    114,623.10/171,959.22 = 34,654.23/x
  3. Step 3: Cross multiply
    114,623.10x = 171,959.22 × 34,654.23
  4. Step 4: Simplify right side
    114,623.10x = 5,959,114,360.50
  5. Step 5: Solve for x
    x = 5,959,114,360.50/114,623.10
  6. Step 6: Final answer
    x = 51,988.77

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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.