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Finding the Fourth Proportional to 32,509.84, 48,765.72 and 22,504.72

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Solution

The fourth proportional to 32,509.84, 48,765.72 and 22,504.72 is: 33,757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.84 : 48,765.72 = 22,504.72 : x
  2. Step 2: Convert to fraction form
    32,509.84/48,765.72 = 22,504.72/x
  3. Step 3: Cross multiply
    32,509.84x = 48,765.72 × 22,504.72
  4. Step 4: Simplify right side
    32,509.84x = 1,097,458,874.20
  5. Step 5: Solve for x
    x = 1,097,458,874.20/32,509.84
  6. Step 6: Final answer
    x = 33,757.74

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Why These Related Problems?

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