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Finding the Fourth Proportional to 105,147.36, 157,723.26 and 37,683.80

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Solution

The fourth proportional to 105,147.36, 157,723.26 and 37,683.80 is: 56,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,147.36 : 157,723.26 = 37,683.80 : x
  2. Step 2: Convert to fraction form
    105,147.36/157,723.26 = 37,683.80/x
  3. Step 3: Cross multiply
    105,147.36x = 157,723.26 × 37,683.80
  4. Step 4: Simplify right side
    105,147.36x = 5,943,611,785.19
  5. Step 5: Solve for x
    x = 5,943,611,785.19/105,147.36
  6. Step 6: Final answer
    x = 56,526.50

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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.