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Finding the Fourth Proportional to 32,498.75, 48,741.96 and 15,842.03

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Solution

The fourth proportional to 32,498.75, 48,741.96 and 15,842.03 is: 23,760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,498.75 : 48,741.96 = 15,842.03 : x
  2. Step 2: Convert to fraction form
    32,498.75/48,741.96 = 15,842.03/x
  3. Step 3: Cross multiply
    32,498.75x = 48,741.96 × 15,842.03
  4. Step 4: Simplify right side
    32,498.75x = 772,171,592.58
  5. Step 5: Solve for x
    x = 772,171,592.58/32,498.75
  6. Step 6: Final answer
    x = 23,760.04

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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.