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Finding the Fourth Proportional to 32,645.46, 48,922.38 and 13,900.14

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Solution

The fourth proportional to 32,645.46, 48,922.38 and 13,900.14 is: 20,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,645.46 : 48,922.38 = 13,900.14 : x
  2. Step 2: Convert to fraction form
    32,645.46/48,922.38 = 13,900.14/x
  3. Step 3: Cross multiply
    32,645.46x = 48,922.38 × 13,900.14
  4. Step 4: Simplify right side
    32,645.46x = 680,027,931.13
  5. Step 5: Solve for x
    x = 680,027,931.13/32,645.46
  6. Step 6: Final answer
    x = 20,830.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.