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Finding the Fourth Proportional to 30,969.52, 46,454.30 and 11,248.04

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Solution

The fourth proportional to 30,969.52, 46,454.30 and 11,248.04 is: 16,872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.52 : 46,454.30 = 11,248.04 : x
  2. Step 2: Convert to fraction form
    30,969.52/46,454.30 = 11,248.04/x
  3. Step 3: Cross multiply
    30,969.52x = 46,454.30 × 11,248.04
  4. Step 4: Simplify right side
    30,969.52x = 522,519,824.57
  5. Step 5: Solve for x
    x = 522,519,824.57/30,969.52
  6. Step 6: Final answer
    x = 16,872.07

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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.