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Finding the Fourth Proportional to 102,525.73, 153,788.60 and 32,399.58

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Solution

The fourth proportional to 102,525.73, 153,788.60 and 32,399.58 is: 48,599.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,525.73 : 153,788.60 = 32,399.58 : x
  2. Step 2: Convert to fraction form
    102,525.73/153,788.60 = 32,399.58/x
  3. Step 3: Cross multiply
    102,525.73x = 153,788.60 × 32,399.58
  4. Step 4: Simplify right side
    102,525.73x = 4,982,685,750.31
  5. Step 5: Solve for x
    x = 4,982,685,750.31/102,525.73
  6. Step 6: Final answer
    x = 48,599.37

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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.