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Finding the Fourth Proportional to 105,092.80, 157,653.60 and 34,964.80

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Solution

The fourth proportional to 105,092.80, 157,653.60 and 34,964.80 is: 52,451.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,092.80 : 157,653.60 = 34,964.80 : x
  2. Step 2: Convert to fraction form
    105,092.80/157,653.60 = 34,964.80/x
  3. Step 3: Cross multiply
    105,092.80x = 157,653.60 × 34,964.80
  4. Step 4: Simplify right side
    105,092.80x = 5,512,326,593.28
  5. Step 5: Solve for x
    x = 5,512,326,593.28/105,092.80
  6. Step 6: Final answer
    x = 52,451.99

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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.