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Finding the Fourth Proportional to 65,544.32, 90,462 and 38,693.36

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Solution

The fourth proportional to 65,544.32, 90,462 and 38,693.36 is: 53,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,544.32 : 90,462 = 38,693.36 : x
  2. Step 2: Convert to fraction form
    65,544.32/90,462 = 38,693.36/x
  3. Step 3: Cross multiply
    65,544.32x = 90,462 × 38,693.36
  4. Step 4: Simplify right side
    65,544.32x = 3,500,278,732.32
  5. Step 5: Solve for x
    x = 3,500,278,732.32/65,544.32
  6. Step 6: Final answer
    x = 53,403.24

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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.