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Finding the Fourth Proportional to 32,638, 48,950.14 and 15,981.25

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Solution

The fourth proportional to 32,638, 48,950.14 and 15,981.25 is: 23,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,638 : 48,950.14 = 15,981.25 : x
  2. Step 2: Convert to fraction form
    32,638/48,950.14 = 15,981.25/x
  3. Step 3: Cross multiply
    32,638x = 48,950.14 × 15,981.25
  4. Step 4: Simplify right side
    32,638x = 782,284,424.88
  5. Step 5: Solve for x
    x = 782,284,424.88/32,638
  6. Step 6: Final answer
    x = 23,968.52

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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.