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Finding the Fourth Proportional to 30,948.57, 46,423.46 and 10,172.07

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Solution

The fourth proportional to 30,948.57, 46,423.46 and 10,172.07 is: 15,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,948.57 : 46,423.46 = 10,172.07 : x
  2. Step 2: Convert to fraction form
    30,948.57/46,423.46 = 10,172.07/x
  3. Step 3: Cross multiply
    30,948.57x = 46,423.46 × 10,172.07
  4. Step 4: Simplify right side
    30,948.57x = 472,222,633.90
  5. Step 5: Solve for x
    x = 472,222,633.90/30,948.57
  6. Step 6: Final answer
    x = 15,258.30

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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.