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Finding the Fourth Proportional to 38,288.81, 52,830.81 and 22,370.19

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Solution

The fourth proportional to 38,288.81, 52,830.81 and 22,370.19 is: 30,866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,288.81 : 52,830.81 = 22,370.19 : x
  2. Step 2: Convert to fraction form
    38,288.81/52,830.81 = 22,370.19/x
  3. Step 3: Cross multiply
    38,288.81x = 52,830.81 × 22,370.19
  4. Step 4: Simplify right side
    38,288.81x = 1,181,835,257.55
  5. Step 5: Solve for x
    x = 1,181,835,257.55/38,288.81
  6. Step 6: Final answer
    x = 30,866.34

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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.