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Finding the Fourth Proportional to 32,901.76, 49,355.78 and 9,209.32

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Solution

The fourth proportional to 32,901.76, 49,355.78 and 9,209.32 is: 13,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,901.76 : 49,355.78 = 9,209.32 : x
  2. Step 2: Convert to fraction form
    32,901.76/49,355.78 = 9,209.32/x
  3. Step 3: Cross multiply
    32,901.76x = 49,355.78 × 9,209.32
  4. Step 4: Simplify right side
    32,901.76x = 454,533,171.87
  5. Step 5: Solve for x
    x = 454,533,171.87/32,901.76
  6. Step 6: Final answer
    x = 13,814.86

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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.