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Finding the Fourth Proportional to 37,235.34, 51,380.19 and 22,128.30

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Solution

The fourth proportional to 37,235.34, 51,380.19 and 22,128.30 is: 30,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,235.34 : 51,380.19 = 22,128.30 : x
  2. Step 2: Convert to fraction form
    37,235.34/51,380.19 = 22,128.30/x
  3. Step 3: Cross multiply
    37,235.34x = 51,380.19 × 22,128.30
  4. Step 4: Simplify right side
    37,235.34x = 1,136,956,258.38
  5. Step 5: Solve for x
    x = 1,136,956,258.38/37,235.34
  6. Step 6: Final answer
    x = 30,534.33

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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.