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Finding the Fourth Proportional to 31,431.88, 47,155.29 and 9,245.98

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Solution

The fourth proportional to 31,431.88, 47,155.29 and 9,245.98 is: 13,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,431.88 : 47,155.29 = 9,245.98 : x
  2. Step 2: Convert to fraction form
    31,431.88/47,155.29 = 9,245.98/x
  3. Step 3: Cross multiply
    31,431.88x = 47,155.29 × 9,245.98
  4. Step 4: Simplify right side
    31,431.88x = 435,996,868.23
  5. Step 5: Solve for x
    x = 435,996,868.23/31,431.88
  6. Step 6: Final answer
    x = 13,871.17

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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.