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Finding the Fourth Proportional to 32,944.76, 49,422 and 9,568.16

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Solution

The fourth proportional to 32,944.76, 49,422 and 9,568.16 is: 14,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,944.76 : 49,422 = 9,568.16 : x
  2. Step 2: Convert to fraction form
    32,944.76/49,422 = 9,568.16/x
  3. Step 3: Cross multiply
    32,944.76x = 49,422 × 9,568.16
  4. Step 4: Simplify right side
    32,944.76x = 472,877,603.52
  5. Step 5: Solve for x
    x = 472,877,603.52/32,944.76
  6. Step 6: Final answer
    x = 14,353.65

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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.