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Finding the Fourth Proportional to 32,508.84, 48,764.22 and 22,503.72

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Solution

The fourth proportional to 32,508.84, 48,764.22 and 22,503.72 is: 33,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,508.84 : 48,764.22 = 22,503.72 : x
  2. Step 2: Convert to fraction form
    32,508.84/48,764.22 = 22,503.72/x
  3. Step 3: Cross multiply
    32,508.84x = 48,764.22 × 22,503.72
  4. Step 4: Simplify right side
    32,508.84x = 1,097,376,352.90
  5. Step 5: Solve for x
    x = 1,097,376,352.90/32,508.84
  6. Step 6: Final answer
    x = 33,756.24

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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.