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Finding the Fourth Proportional to 31,628.16, 47,442.15 and 9,441

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Solution

The fourth proportional to 31,628.16, 47,442.15 and 9,441 is: 14,161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,628.16 : 47,442.15 = 9,441 : x
  2. Step 2: Convert to fraction form
    31,628.16/47,442.15 = 9,441/x
  3. Step 3: Cross multiply
    31,628.16x = 47,442.15 × 9,441
  4. Step 4: Simplify right side
    31,628.16x = 447,901,338.15
  5. Step 5: Solve for x
    x = 447,901,338.15/31,628.16
  6. Step 6: Final answer
    x = 14,161.47

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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.