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Finding the Fourth Proportional to 32,201.46, 48,309.02 and 9,712.82

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Solution

The fourth proportional to 32,201.46, 48,309.02 and 9,712.82 is: 14,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,201.46 : 48,309.02 = 9,712.82 : x
  2. Step 2: Convert to fraction form
    32,201.46/48,309.02 = 9,712.82/x
  3. Step 3: Cross multiply
    32,201.46x = 48,309.02 × 9,712.82
  4. Step 4: Simplify right side
    32,201.46x = 469,216,525.53
  5. Step 5: Solve for x
    x = 469,216,525.53/32,201.46
  6. Step 6: Final answer
    x = 14,571.28

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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.