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Finding the Fourth Proportional to 32,819.27, 45,297.35 and 21,348.50

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Solution

The fourth proportional to 32,819.27, 45,297.35 and 21,348.50 is: 29,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,819.27 : 45,297.35 = 21,348.50 : x
  2. Step 2: Convert to fraction form
    32,819.27/45,297.35 = 21,348.50/x
  3. Step 3: Cross multiply
    32,819.27x = 45,297.35 × 21,348.50
  4. Step 4: Simplify right side
    32,819.27x = 967,030,143.25
  5. Step 5: Solve for x
    x = 967,030,143.25/32,819.27
  6. Step 6: Final answer
    x = 29,465.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.