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Finding the Fourth Proportional to 105,350.56, 157,992.90 and 35,213.47

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Solution

The fourth proportional to 105,350.56, 157,992.90 and 35,213.47 is: 52,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,350.56 : 157,992.90 = 35,213.47 : x
  2. Step 2: Convert to fraction form
    105,350.56/157,992.90 = 35,213.47/x
  3. Step 3: Cross multiply
    105,350.56x = 157,992.90 × 35,213.47
  4. Step 4: Simplify right side
    105,350.56x = 5,563,478,244.36
  5. Step 5: Solve for x
    x = 5,563,478,244.36/105,350.56
  6. Step 6: Final answer
    x = 52,809.19

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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.