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Finding the Fourth Proportional to 57,827.20, 86,779.20 and 32,867.20

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Solution

The fourth proportional to 57,827.20, 86,779.20 and 32,867.20 is: 49,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,827.20 : 86,779.20 = 32,867.20 : x
  2. Step 2: Convert to fraction form
    57,827.20/86,779.20 = 32,867.20/x
  3. Step 3: Cross multiply
    57,827.20x = 86,779.20 × 32,867.20
  4. Step 4: Simplify right side
    57,827.20x = 2,852,189,322.24
  5. Step 5: Solve for x
    x = 2,852,189,322.24/57,827.20
  6. Step 6: Final answer
    x = 49,322.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.