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Finding the Fourth Proportional to 31,143.88, 46,715.82 and 7,770.31

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Solution

The fourth proportional to 31,143.88, 46,715.82 and 7,770.31 is: 11,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,143.88 : 46,715.82 = 7,770.31 : x
  2. Step 2: Convert to fraction form
    31,143.88/46,715.82 = 7,770.31/x
  3. Step 3: Cross multiply
    31,143.88x = 46,715.82 × 7,770.31
  4. Step 4: Simplify right side
    31,143.88x = 362,996,563.86
  5. Step 5: Solve for x
    x = 362,996,563.86/31,143.88
  6. Step 6: Final answer
    x = 11,655.47

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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.