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Finding the Fourth Proportional to 32,489.74, 48,720.03 and 14,950

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Solution

The fourth proportional to 32,489.74, 48,720.03 and 14,950 is: 22,418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,489.74 : 48,720.03 = 14,950 : x
  2. Step 2: Convert to fraction form
    32,489.74/48,720.03 = 14,950/x
  3. Step 3: Cross multiply
    32,489.74x = 48,720.03 × 14,950
  4. Step 4: Simplify right side
    32,489.74x = 728,364,448.50
  5. Step 5: Solve for x
    x = 728,364,448.50/32,489.74
  6. Step 6: Final answer
    x = 22,418.29

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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.