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Finding the Fourth Proportional to 32,883.31, 45,368.22 and 20,123.20

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Solution

The fourth proportional to 32,883.31, 45,368.22 and 20,123.20 is: 27,763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,883.31 : 45,368.22 = 20,123.20 : x
  2. Step 2: Convert to fraction form
    32,883.31/45,368.22 = 20,123.20/x
  3. Step 3: Cross multiply
    32,883.31x = 45,368.22 × 20,123.20
  4. Step 4: Simplify right side
    32,883.31x = 912,953,764.70
  5. Step 5: Solve for x
    x = 912,953,764.70/32,883.31
  6. Step 6: Final answer
    x = 27,763.44

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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.