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Finding the Fourth Proportional to 57,466.40, 86,014.92 and 30,745.72

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Solution

The fourth proportional to 57,466.40, 86,014.92 and 30,745.72 is: 46,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,466.40 : 86,014.92 = 30,745.72 : x
  2. Step 2: Convert to fraction form
    57,466.40/86,014.92 = 30,745.72/x
  3. Step 3: Cross multiply
    57,466.40x = 86,014.92 × 30,745.72
  4. Step 4: Simplify right side
    57,466.40x = 2,644,590,646.14
  5. Step 5: Solve for x
    x = 2,644,590,646.14/57,466.40
  6. Step 6: Final answer
    x = 46,019.77

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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.