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Finding the Fourth Proportional to 38,019.81, 52,454.34 and 22,906.77

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Solution

The fourth proportional to 38,019.81, 52,454.34 and 22,906.77 is: 31,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,019.81 : 52,454.34 = 22,906.77 : x
  2. Step 2: Convert to fraction form
    38,019.81/52,454.34 = 22,906.77/x
  3. Step 3: Cross multiply
    38,019.81x = 52,454.34 × 22,906.77
  4. Step 4: Simplify right side
    38,019.81x = 1,201,559,501.88
  5. Step 5: Solve for x
    x = 1,201,559,501.88/38,019.81
  6. Step 6: Final answer
    x = 31,603.51

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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.