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Finding the Fourth Proportional to 102,409.52, 153,614.24 and 28,537.52

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Solution

The fourth proportional to 102,409.52, 153,614.24 and 28,537.52 is: 42,806.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,409.52 : 153,614.24 = 28,537.52 : x
  2. Step 2: Convert to fraction form
    102,409.52/153,614.24 = 28,537.52/x
  3. Step 3: Cross multiply
    102,409.52x = 153,614.24 × 28,537.52
  4. Step 4: Simplify right side
    102,409.52x = 4,383,769,446.28
  5. Step 5: Solve for x
    x = 4,383,769,446.28/102,409.52
  6. Step 6: Final answer
    x = 42,806.27

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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.