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Finding the Fourth Proportional to 38,465.82, 53,049.60 and 25,032.24

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Solution

The fourth proportional to 38,465.82, 53,049.60 and 25,032.24 is: 34,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,465.82 : 53,049.60 = 25,032.24 : x
  2. Step 2: Convert to fraction form
    38,465.82/53,049.60 = 25,032.24/x
  3. Step 3: Cross multiply
    38,465.82x = 53,049.60 × 25,032.24
  4. Step 4: Simplify right side
    38,465.82x = 1,327,950,319.10
  5. Step 5: Solve for x
    x = 1,327,950,319.10/38,465.82
  6. Step 6: Final answer
    x = 34,522.87

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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.