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Finding the Fourth Proportional to 32,212.93, 48,313.24 and 10,026.58

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Solution

The fourth proportional to 32,212.93, 48,313.24 and 10,026.58 is: 15,037.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,212.93 : 48,313.24 = 10,026.58 : x
  2. Step 2: Convert to fraction form
    32,212.93/48,313.24 = 10,026.58/x
  3. Step 3: Cross multiply
    32,212.93x = 48,313.24 × 10,026.58
  4. Step 4: Simplify right side
    32,212.93x = 484,416,565.92
  5. Step 5: Solve for x
    x = 484,416,565.92/32,212.93
  6. Step 6: Final answer
    x = 15,037.95

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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.