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Finding the Fourth Proportional to 30,772.17, 46,169.00 and 9,715.47

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Solution

The fourth proportional to 30,772.17, 46,169.00 and 9,715.47 is: 14,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.17 : 46,169.00 = 9,715.47 : x
  2. Step 2: Convert to fraction form
    30,772.17/46,169.00 = 9,715.47/x
  3. Step 3: Cross multiply
    30,772.17x = 46,169.00 × 9,715.47
  4. Step 4: Simplify right side
    30,772.17x = 448,553,485.85
  5. Step 5: Solve for x
    x = 448,553,485.85/30,772.17
  6. Step 6: Final answer
    x = 14,576.60

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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.