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Finding the Fourth Proportional to 57,785.94, 79,741.73 and 32,287.28

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Solution

The fourth proportional to 57,785.94, 79,741.73 and 32,287.28 is: 44,554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,785.94 : 79,741.73 = 32,287.28 : x
  2. Step 2: Convert to fraction form
    57,785.94/79,741.73 = 32,287.28/x
  3. Step 3: Cross multiply
    57,785.94x = 79,741.73 × 32,287.28
  4. Step 4: Simplify right side
    57,785.94x = 2,574,643,246.20
  5. Step 5: Solve for x
    x = 2,574,643,246.20/57,785.94
  6. Step 6: Final answer
    x = 44,554.84

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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.