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Finding the Fourth Proportional to 114,602.15, 171,904.41 and 34,640.78

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Solution

The fourth proportional to 114,602.15, 171,904.41 and 34,640.78 is: 51,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,602.15 : 171,904.41 = 34,640.78 : x
  2. Step 2: Convert to fraction form
    114,602.15/171,904.41 = 34,640.78/x
  3. Step 3: Cross multiply
    114,602.15x = 171,904.41 × 34,640.78
  4. Step 4: Simplify right side
    114,602.15x = 5,954,901,988.32
  5. Step 5: Solve for x
    x = 5,954,901,988.32/114,602.15
  6. Step 6: Final answer
    x = 51,961.52

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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.