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Finding the Fourth Proportional to 58,745.78, 81,032.22 and 34,855.50

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Solution

The fourth proportional to 58,745.78, 81,032.22 and 34,855.50 is: 48,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,745.78 : 81,032.22 = 34,855.50 : x
  2. Step 2: Convert to fraction form
    58,745.78/81,032.22 = 34,855.50/x
  3. Step 3: Cross multiply
    58,745.78x = 81,032.22 × 34,855.50
  4. Step 4: Simplify right side
    58,745.78x = 2,824,418,544.21
  5. Step 5: Solve for x
    x = 2,824,418,544.21/58,745.78
  6. Step 6: Final answer
    x = 48,078.66

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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.