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Finding the Fourth Proportional to 38,036.28, 52,477.14 and 22,923.24

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Solution

The fourth proportional to 38,036.28, 52,477.14 and 22,923.24 is: 31,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,036.28 : 52,477.14 = 22,923.24 : x
  2. Step 2: Convert to fraction form
    38,036.28/52,477.14 = 22,923.24/x
  3. Step 3: Cross multiply
    38,036.28x = 52,477.14 × 22,923.24
  4. Step 4: Simplify right side
    38,036.28x = 1,202,946,074.73
  5. Step 5: Solve for x
    x = 1,202,946,074.73/38,036.28
  6. Step 6: Final answer
    x = 31,626.28

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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.