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Finding the Fourth Proportional to 107,071.14, 160,614.66 and 32,185.26

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Solution

The fourth proportional to 107,071.14, 160,614.66 and 32,185.26 is: 48,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,071.14 : 160,614.66 = 32,185.26 : x
  2. Step 2: Convert to fraction form
    107,071.14/160,614.66 = 32,185.26/x
  3. Step 3: Cross multiply
    107,071.14x = 160,614.66 × 32,185.26
  4. Step 4: Simplify right side
    107,071.14x = 5,169,424,591.91
  5. Step 5: Solve for x
    x = 5,169,424,591.91/107,071.14
  6. Step 6: Final answer
    x = 48,280.28

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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.