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Finding the Fourth Proportional to 30,777.75, 46,171.08 and 9,710.64

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Solution

The fourth proportional to 30,777.75, 46,171.08 and 9,710.64 is: 14,567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777.75 : 46,171.08 = 9,710.64 : x
  2. Step 2: Convert to fraction form
    30,777.75/46,171.08 = 9,710.64/x
  3. Step 3: Cross multiply
    30,777.75x = 46,171.08 × 9,710.64
  4. Step 4: Simplify right side
    30,777.75x = 448,350,736.29
  5. Step 5: Solve for x
    x = 448,350,736.29/30,777.75
  6. Step 6: Final answer
    x = 14,567.37

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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.