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Finding the Fourth Proportional to 102,144.39, 153,216.59 and 32,029.35

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Solution

The fourth proportional to 102,144.39, 153,216.59 and 32,029.35 is: 48,044.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,144.39 : 153,216.59 = 32,029.35 : x
  2. Step 2: Convert to fraction form
    102,144.39/153,216.59 = 32,029.35/x
  3. Step 3: Cross multiply
    102,144.39x = 153,216.59 × 32,029.35
  4. Step 4: Simplify right side
    102,144.39x = 4,907,427,786.92
  5. Step 5: Solve for x
    x = 4,907,427,786.92/102,144.39
  6. Step 6: Final answer
    x = 48,044.03

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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.