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Finding the Fourth Proportional to 38,528.80, 53,157.27 and 22,617.16

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Solution

The fourth proportional to 38,528.80, 53,157.27 and 22,617.16 is: 31,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,528.80 : 53,157.27 = 22,617.16 : x
  2. Step 2: Convert to fraction form
    38,528.80/53,157.27 = 22,617.16/x
  3. Step 3: Cross multiply
    38,528.80x = 53,157.27 × 22,617.16
  4. Step 4: Simplify right side
    38,528.80x = 1,202,266,480.75
  5. Step 5: Solve for x
    x = 1,202,266,480.75/38,528.80
  6. Step 6: Final answer
    x = 31,204.36

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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.