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Finding the Fourth Proportional to 38,119.98, 52,603.26 and 22,390.50

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Solution

The fourth proportional to 38,119.98, 52,603.26 and 22,390.50 is: 30,897.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,119.98 : 52,603.26 = 22,390.50 : x
  2. Step 2: Convert to fraction form
    38,119.98/52,603.26 = 22,390.50/x
  3. Step 3: Cross multiply
    38,119.98x = 52,603.26 × 22,390.50
  4. Step 4: Simplify right side
    38,119.98x = 1,177,813,293.03
  5. Step 5: Solve for x
    x = 1,177,813,293.03/38,119.98
  6. Step 6: Final answer
    x = 30,897.53

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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.