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Finding the Fourth Proportional to 31,830.57, 47,745.86 and 10,770.77

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Solution

The fourth proportional to 31,830.57, 47,745.86 and 10,770.77 is: 16,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,830.57 : 47,745.86 = 10,770.77 : x
  2. Step 2: Convert to fraction form
    31,830.57/47,745.86 = 10,770.77/x
  3. Step 3: Cross multiply
    31,830.57x = 47,745.86 × 10,770.77
  4. Step 4: Simplify right side
    31,830.57x = 514,259,742.02
  5. Step 5: Solve for x
    x = 514,259,742.02/31,830.57
  6. Step 6: Final answer
    x = 16,156.16

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