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Finding the Fourth Proportional to 103,583.32, 155,378.42 and 28,704.22

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Solution

The fourth proportional to 103,583.32, 155,378.42 and 28,704.22 is: 43,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,583.32 : 155,378.42 = 28,704.22 : x
  2. Step 2: Convert to fraction form
    103,583.32/155,378.42 = 28,704.22/x
  3. Step 3: Cross multiply
    103,583.32x = 155,378.42 × 28,704.22
  4. Step 4: Simplify right side
    103,583.32x = 4,460,016,350.93
  5. Step 5: Solve for x
    x = 4,460,016,350.93/103,583.32
  6. Step 6: Final answer
    x = 43,057.28

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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.