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Finding the Fourth Proportional to 38,225.30, 52,749.11 and 21,230.64

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Solution

The fourth proportional to 38,225.30, 52,749.11 and 21,230.64 is: 29,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,225.30 : 52,749.11 = 21,230.64 : x
  2. Step 2: Convert to fraction form
    38,225.30/52,749.11 = 21,230.64/x
  3. Step 3: Cross multiply
    38,225.30x = 52,749.11 × 21,230.64
  4. Step 4: Simplify right side
    38,225.30x = 1,119,897,417.81
  5. Step 5: Solve for x
    x = 1,119,897,417.81/38,225.30
  6. Step 6: Final answer
    x = 29,297.29

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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.