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Finding the Fourth Proportional to 105,244.38, 157,815.41 and 35,100

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Solution

The fourth proportional to 105,244.38, 157,815.41 and 35,100 is: 52,632.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,244.38 : 157,815.41 = 35,100 : x
  2. Step 2: Convert to fraction form
    105,244.38/157,815.41 = 35,100/x
  3. Step 3: Cross multiply
    105,244.38x = 157,815.41 × 35,100
  4. Step 4: Simplify right side
    105,244.38x = 5,539,320,715.50
  5. Step 5: Solve for x
    x = 5,539,320,715.50/105,244.38
  6. Step 6: Final answer
    x = 52,632.94

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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.