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Finding the Fourth Proportional to 32,099.84, 48,149.86 and 8,726.26

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Solution

The fourth proportional to 32,099.84, 48,149.86 and 8,726.26 is: 13,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,099.84 : 48,149.86 = 8,726.26 : x
  2. Step 2: Convert to fraction form
    32,099.84/48,149.86 = 8,726.26/x
  3. Step 3: Cross multiply
    32,099.84x = 48,149.86 × 8,726.26
  4. Step 4: Simplify right side
    32,099.84x = 420,168,197.32
  5. Step 5: Solve for x
    x = 420,168,197.32/32,099.84
  6. Step 6: Final answer
    x = 13,089.42

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1.5x scale

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.