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Finding the Fourth Proportional to 32,649.65, 48,972.42 and 19,492.12

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Solution

The fourth proportional to 32,649.65, 48,972.42 and 19,492.12 is: 29,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,649.65 : 48,972.42 = 19,492.12 : x
  2. Step 2: Convert to fraction form
    32,649.65/48,972.42 = 19,492.12/x
  3. Step 3: Cross multiply
    32,649.65x = 48,972.42 × 19,492.12
  4. Step 4: Simplify right side
    32,649.65x = 954,576,042.47
  5. Step 5: Solve for x
    x = 954,576,042.47/32,649.65
  6. Step 6: Final answer
    x = 29,236.95

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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.