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Finding the Fourth Proportional to 47,391.92, 65,393.09 and 28,008.14

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Solution

The fourth proportional to 47,391.92, 65,393.09 and 28,008.14 is: 38,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,391.92 : 65,393.09 = 28,008.14 : x
  2. Step 2: Convert to fraction form
    47,391.92/65,393.09 = 28,008.14/x
  3. Step 3: Cross multiply
    47,391.92x = 65,393.09 × 28,008.14
  4. Step 4: Simplify right side
    47,391.92x = 1,831,538,562.81
  5. Step 5: Solve for x
    x = 1,831,538,562.81/47,391.92
  6. Step 6: Final answer
    x = 38,646.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.