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Finding the Fourth Proportional to 47,324.14, 65,298.22 and 28,462.48

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Solution

The fourth proportional to 47,324.14, 65,298.22 and 28,462.48 is: 39,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,324.14 : 65,298.22 = 28,462.48 : x
  2. Step 2: Convert to fraction form
    47,324.14/65,298.22 = 28,462.48/x
  3. Step 3: Cross multiply
    47,324.14x = 65,298.22 × 28,462.48
  4. Step 4: Simplify right side
    47,324.14x = 1,858,549,280.79
  5. Step 5: Solve for x
    x = 1,858,549,280.79/47,324.14
  6. Step 6: Final answer
    x = 39,272.75

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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.