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Finding the Fourth Proportional to 58,511.38, 80,745.90 and 31,654.01

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Solution

The fourth proportional to 58,511.38, 80,745.90 and 31,654.01 is: 43,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,511.38 : 80,745.90 = 31,654.01 : x
  2. Step 2: Convert to fraction form
    58,511.38/80,745.90 = 31,654.01/x
  3. Step 3: Cross multiply
    58,511.38x = 80,745.90 × 31,654.01
  4. Step 4: Simplify right side
    58,511.38x = 2,555,931,526.06
  5. Step 5: Solve for x
    x = 2,555,931,526.06/58,511.38
  6. Step 6: Final answer
    x = 43,682.64

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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.