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Finding the Fourth Proportional to 31,307.28, 46,968.24 and 9,121.08

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Solution

The fourth proportional to 31,307.28, 46,968.24 and 9,121.08 is: 13,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,307.28 : 46,968.24 = 9,121.08 : x
  2. Step 2: Convert to fraction form
    31,307.28/46,968.24 = 9,121.08/x
  3. Step 3: Cross multiply
    31,307.28x = 46,968.24 × 9,121.08
  4. Step 4: Simplify right side
    31,307.28x = 428,401,074.50
  5. Step 5: Solve for x
    x = 428,401,074.50/31,307.28
  6. Step 6: Final answer
    x = 13,683.75

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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.