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Finding the Fourth Proportional to 105,079.80, 157,634.10 and 34,951.80

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Solution

The fourth proportional to 105,079.80, 157,634.10 and 34,951.80 is: 52,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,079.80 : 157,634.10 = 34,951.80 : x
  2. Step 2: Convert to fraction form
    105,079.80/157,634.10 = 34,951.80/x
  3. Step 3: Cross multiply
    105,079.80x = 157,634.10 × 34,951.80
  4. Step 4: Simplify right side
    105,079.80x = 5,509,595,536.38
  5. Step 5: Solve for x
    x = 5,509,595,536.38/105,079.80
  6. Step 6: Final answer
    x = 52,432.49

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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.