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Finding the Fourth Proportional to 105,349.94, 157,991.96 and 35,212.85

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Solution

The fourth proportional to 105,349.94, 157,991.96 and 35,212.85 is: 52,808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,349.94 : 157,991.96 = 35,212.85 : x
  2. Step 2: Convert to fraction form
    105,349.94/157,991.96 = 35,212.85/x
  3. Step 3: Cross multiply
    105,349.94x = 157,991.96 × 35,212.85
  4. Step 4: Simplify right side
    105,349.94x = 5,563,346,486.76
  5. Step 5: Solve for x
    x = 5,563,346,486.76/105,349.94
  6. Step 6: Final answer
    x = 52,808.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.