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Finding the Fourth Proportional to 32,420.34, 48,652.38 and 12,696.44

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Solution

The fourth proportional to 32,420.34, 48,652.38 and 12,696.44 is: 19,053.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420.34 : 48,652.38 = 12,696.44 : x
  2. Step 2: Convert to fraction form
    32,420.34/48,652.38 = 12,696.44/x
  3. Step 3: Cross multiply
    32,420.34x = 48,652.38 × 12,696.44
  4. Step 4: Simplify right side
    32,420.34x = 617,711,780.27
  5. Step 5: Solve for x
    x = 617,711,780.27/32,420.34
  6. Step 6: Final answer
    x = 19,053.22

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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.