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Finding the Fourth Proportional to 30,914.73, 46,371.42 and 7,541.10

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Solution

The fourth proportional to 30,914.73, 46,371.42 and 7,541.10 is: 11,311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914.73 : 46,371.42 = 7,541.10 : x
  2. Step 2: Convert to fraction form
    30,914.73/46,371.42 = 7,541.10/x
  3. Step 3: Cross multiply
    30,914.73x = 46,371.42 × 7,541.10
  4. Step 4: Simplify right side
    30,914.73x = 349,691,515.36
  5. Step 5: Solve for x
    x = 349,691,515.36/30,914.73
  6. Step 6: Final answer
    x = 11,311.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.