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Finding the Fourth Proportional to 31,603.93, 47,408.73 and 8,230.57

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Solution

The fourth proportional to 31,603.93, 47,408.73 and 8,230.57 is: 12,346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,603.93 : 47,408.73 = 8,230.57 : x
  2. Step 2: Convert to fraction form
    31,603.93/47,408.73 = 8,230.57/x
  3. Step 3: Cross multiply
    31,603.93x = 47,408.73 × 8,230.57
  4. Step 4: Simplify right side
    31,603.93x = 390,200,870.88
  5. Step 5: Solve for x
    x = 390,200,870.88/31,603.93
  6. Step 6: Final answer
    x = 12,346.59

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1.5x scale

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.