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Finding the Fourth Proportional to 30,710.28, 46,065.39 and 9,650.22

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Solution

The fourth proportional to 30,710.28, 46,065.39 and 9,650.22 is: 14,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710.28 : 46,065.39 = 9,650.22 : x
  2. Step 2: Convert to fraction form
    30,710.28/46,065.39 = 9,650.22/x
  3. Step 3: Cross multiply
    30,710.28x = 46,065.39 × 9,650.22
  4. Step 4: Simplify right side
    30,710.28x = 444,541,147.89
  5. Step 5: Solve for x
    x = 444,541,147.89/30,710.28
  6. Step 6: Final answer
    x = 14,475.32

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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.