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Finding the Fourth Proportional to 32,600.72, 48,910.35 and 10,415.82

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Solution

The fourth proportional to 32,600.72, 48,910.35 and 10,415.82 is: 15,626.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,600.72 : 48,910.35 = 10,415.82 : x
  2. Step 2: Convert to fraction form
    32,600.72/48,910.35 = 10,415.82/x
  3. Step 3: Cross multiply
    32,600.72x = 48,910.35 × 10,415.82
  4. Step 4: Simplify right side
    32,600.72x = 509,441,401.74
  5. Step 5: Solve for x
    x = 509,441,401.74/32,600.72
  6. Step 6: Final answer
    x = 15,626.69

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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.