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Finding the Fourth Proportional to 30,741.52, 46,067.64 and 16,689.64

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Solution

The fourth proportional to 30,741.52, 46,067.64 and 16,689.64 is: 25,010.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.52 : 46,067.64 = 16,689.64 : x
  2. Step 2: Convert to fraction form
    30,741.52/46,067.64 = 16,689.64/x
  3. Step 3: Cross multiply
    30,741.52x = 46,067.64 × 16,689.64
  4. Step 4: Simplify right side
    30,741.52x = 768,852,327.25
  5. Step 5: Solve for x
    x = 768,852,327.25/30,741.52
  6. Step 6: Final answer
    x = 25,010.22

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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.