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Finding the Fourth Proportional to 32,311.58, 48,467.44 and 9,822.46

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Solution

The fourth proportional to 32,311.58, 48,467.44 and 9,822.46 is: 14,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,311.58 : 48,467.44 = 9,822.46 : x
  2. Step 2: Convert to fraction form
    32,311.58/48,467.44 = 9,822.46/x
  3. Step 3: Cross multiply
    32,311.58x = 48,467.44 × 9,822.46
  4. Step 4: Simplify right side
    32,311.58x = 476,069,490.70
  5. Step 5: Solve for x
    x = 476,069,490.70/32,311.58
  6. Step 6: Final answer
    x = 14,733.71

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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.