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Finding the Fourth Proportional to 32,990.48, 49,491.48 and 14,522

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Solution

The fourth proportional to 32,990.48, 49,491.48 and 14,522 is: 21,785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,990.48 : 49,491.48 = 14,522 : x
  2. Step 2: Convert to fraction form
    32,990.48/49,491.48 = 14,522/x
  3. Step 3: Cross multiply
    32,990.48x = 49,491.48 × 14,522
  4. Step 4: Simplify right side
    32,990.48x = 718,715,272.56
  5. Step 5: Solve for x
    x = 718,715,272.56/32,990.48
  6. Step 6: Final answer
    x = 21,785.54

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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.