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Finding the Fourth Proportional to 38,930.16, 53,724 and 22,164.24

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Solution

The fourth proportional to 38,930.16, 53,724 and 22,164.24 is: 30,586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,930.16 : 53,724 = 22,164.24 : x
  2. Step 2: Convert to fraction form
    38,930.16/53,724 = 22,164.24/x
  3. Step 3: Cross multiply
    38,930.16x = 53,724 × 22,164.24
  4. Step 4: Simplify right side
    38,930.16x = 1,190,751,629.76
  5. Step 5: Solve for x
    x = 1,190,751,629.76/38,930.16
  6. Step 6: Final answer
    x = 30,586.87

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1.5x scale

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.