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Finding the Fourth Proportional to 105,349.56, 157,991.40 and 35,212.47

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Solution

The fourth proportional to 105,349.56, 157,991.40 and 35,212.47 is: 52,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,349.56 : 157,991.40 = 35,212.47 : x
  2. Step 2: Convert to fraction form
    105,349.56/157,991.40 = 35,212.47/x
  3. Step 3: Cross multiply
    105,349.56x = 157,991.40 × 35,212.47
  4. Step 4: Simplify right side
    105,349.56x = 5,563,267,432.76
  5. Step 5: Solve for x
    x = 5,563,267,432.76/105,349.56
  6. Step 6: Final answer
    x = 52,807.69

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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.