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Finding the Fourth Proportional to 32,633.76, 48,950.64 and 9,257.16

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Solution

The fourth proportional to 32,633.76, 48,950.64 and 9,257.16 is: 13,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,633.76 : 48,950.64 = 9,257.16 : x
  2. Step 2: Convert to fraction form
    32,633.76/48,950.64 = 9,257.16/x
  3. Step 3: Cross multiply
    32,633.76x = 48,950.64 × 9,257.16
  4. Step 4: Simplify right side
    32,633.76x = 453,143,906.58
  5. Step 5: Solve for x
    x = 453,143,906.58/32,633.76
  6. Step 6: Final answer
    x = 13,885.74

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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.