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Finding the Fourth Proportional to 32,637.75, 48,949.76 and 15,981

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Solution

The fourth proportional to 32,637.75, 48,949.76 and 15,981 is: 23,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,637.75 : 48,949.76 = 15,981 : x
  2. Step 2: Convert to fraction form
    32,637.75/48,949.76 = 15,981/x
  3. Step 3: Cross multiply
    32,637.75x = 48,949.76 × 15,981
  4. Step 4: Simplify right side
    32,637.75x = 782,266,034.66
  5. Step 5: Solve for x
    x = 782,266,034.66/32,637.75
  6. Step 6: Final answer
    x = 23,968.14

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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.