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Finding the Fourth Proportional to 30,902.87, 46,358.75 and 9,557.25

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Solution

The fourth proportional to 30,902.87, 46,358.75 and 9,557.25 is: 14,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.87 : 46,358.75 = 9,557.25 : x
  2. Step 2: Convert to fraction form
    30,902.87/46,358.75 = 9,557.25/x
  3. Step 3: Cross multiply
    30,902.87x = 46,358.75 × 9,557.25
  4. Step 4: Simplify right side
    30,902.87x = 443,062,163.44
  5. Step 5: Solve for x
    x = 443,062,163.44/30,902.87
  6. Step 6: Final answer
    x = 14,337.25

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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.