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Finding the Fourth Proportional to 61,830.56, 92,745.92 and 15,083.20

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Solution

The fourth proportional to 61,830.56, 92,745.92 and 15,083.20 is: 22,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,830.56 : 92,745.92 = 15,083.20 : x
  2. Step 2: Convert to fraction form
    61,830.56/92,745.92 = 15,083.20/x
  3. Step 3: Cross multiply
    61,830.56x = 92,745.92 × 15,083.20
  4. Step 4: Simplify right side
    61,830.56x = 1,398,905,260.54
  5. Step 5: Solve for x
    x = 1,398,905,260.54/61,830.56
  6. Step 6: Final answer
    x = 22,624.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.