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Finding the Fourth Proportional to 32,809.60, 49,219.20 and 17,228.40

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Solution

The fourth proportional to 32,809.60, 49,219.20 and 17,228.40 is: 25,845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,809.60 : 49,219.20 = 17,228.40 : x
  2. Step 2: Convert to fraction form
    32,809.60/49,219.20 = 17,228.40/x
  3. Step 3: Cross multiply
    32,809.60x = 49,219.20 × 17,228.40
  4. Step 4: Simplify right side
    32,809.60x = 847,968,065.28
  5. Step 5: Solve for x
    x = 847,968,065.28/32,809.60
  6. Step 6: Final answer
    x = 25,845.12

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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.