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Finding the Fourth Proportional to 32,820.50, 45,274.05 and 21,508.24

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Solution

The fourth proportional to 32,820.50, 45,274.05 and 21,508.24 is: 29,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,820.50 : 45,274.05 = 21,508.24 : x
  2. Step 2: Convert to fraction form
    32,820.50/45,274.05 = 21,508.24/x
  3. Step 3: Cross multiply
    32,820.50x = 45,274.05 × 21,508.24
  4. Step 4: Simplify right side
    32,820.50x = 973,765,300.13
  5. Step 5: Solve for x
    x = 973,765,300.13/32,820.50
  6. Step 6: Final answer
    x = 29,669.42

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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.