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Finding the Fourth Proportional to 30,729.44, 46,097.44 and 8,542.88

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Solution

The fourth proportional to 30,729.44, 46,097.44 and 8,542.88 is: 12,815.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,729.44 : 46,097.44 = 8,542.88 : x
  2. Step 2: Convert to fraction form
    30,729.44/46,097.44 = 8,542.88/x
  3. Step 3: Cross multiply
    30,729.44x = 46,097.44 × 8,542.88
  4. Step 4: Simplify right side
    30,729.44x = 393,804,898.23
  5. Step 5: Solve for x
    x = 393,804,898.23/30,729.44
  6. Step 6: Final answer
    x = 12,815.23

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1.5x scale

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.