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Finding the Fourth Proportional to 31,204.53, 46,807.70 and 9,022.88

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Solution

The fourth proportional to 31,204.53, 46,807.70 and 9,022.88 is: 13,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,204.53 : 46,807.70 = 9,022.88 : x
  2. Step 2: Convert to fraction form
    31,204.53/46,807.70 = 9,022.88/x
  3. Step 3: Cross multiply
    31,204.53x = 46,807.70 × 9,022.88
  4. Step 4: Simplify right side
    31,204.53x = 422,339,981.02
  5. Step 5: Solve for x
    x = 422,339,981.02/31,204.53
  6. Step 6: Final answer
    x = 13,534.57

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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.