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Finding the Fourth Proportional to 30,794.48, 46,209 and 12,327.92

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Solution

The fourth proportional to 30,794.48, 46,209 and 12,327.92 is: 18,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.48 : 46,209 = 12,327.92 : x
  2. Step 2: Convert to fraction form
    30,794.48/46,209 = 12,327.92/x
  3. Step 3: Cross multiply
    30,794.48x = 46,209 × 12,327.92
  4. Step 4: Simplify right side
    30,794.48x = 569,660,855.28
  5. Step 5: Solve for x
    x = 569,660,855.28/30,794.48
  6. Step 6: Final answer
    x = 18,498.80

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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.