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Finding the Fourth Proportional to 102,409.97, 153,614.96 and 32,296.37

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Solution

The fourth proportional to 102,409.97, 153,614.96 and 32,296.37 is: 48,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,409.97 : 153,614.96 = 32,296.37 : x
  2. Step 2: Convert to fraction form
    102,409.97/153,614.96 = 32,296.37/x
  3. Step 3: Cross multiply
    102,409.97x = 153,614.96 × 32,296.37
  4. Step 4: Simplify right side
    102,409.97x = 4,961,205,424.21
  5. Step 5: Solve for x
    x = 4,961,205,424.21/102,409.97
  6. Step 6: Final answer
    x = 48,444.56

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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.