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Finding the Fourth Proportional to 57,190.64, 85,797.42 and 19,752.08

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Solution

The fourth proportional to 57,190.64, 85,797.42 and 19,752.08 is: 29,632.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,190.64 : 85,797.42 = 19,752.08 : x
  2. Step 2: Convert to fraction form
    57,190.64/85,797.42 = 19,752.08/x
  3. Step 3: Cross multiply
    57,190.64x = 85,797.42 × 19,752.08
  4. Step 4: Simplify right side
    57,190.64x = 1,694,677,322.32
  5. Step 5: Solve for x
    x = 1,694,677,322.32/57,190.64
  6. Step 6: Final answer
    x = 29,632.08

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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.