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Finding the Fourth Proportional to 30,754.40, 46,132.04 and 9,694.04

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Solution

The fourth proportional to 30,754.40, 46,132.04 and 9,694.04 is: 14,541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,754.40 : 46,132.04 = 9,694.04 : x
  2. Step 2: Convert to fraction form
    30,754.40/46,132.04 = 9,694.04/x
  3. Step 3: Cross multiply
    30,754.40x = 46,132.04 × 9,694.04
  4. Step 4: Simplify right side
    30,754.40x = 447,205,634.62
  5. Step 5: Solve for x
    x = 447,205,634.62/30,754.40
  6. Step 6: Final answer
    x = 14,541.19

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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.