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Finding the Fourth Proportional to 30,784.56, 46,176.84 and 17,627.82

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Solution

The fourth proportional to 30,784.56, 46,176.84 and 17,627.82 is: 26,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,784.56 : 46,176.84 = 17,627.82 : x
  2. Step 2: Convert to fraction form
    30,784.56/46,176.84 = 17,627.82/x
  3. Step 3: Cross multiply
    30,784.56x = 46,176.84 × 17,627.82
  4. Step 4: Simplify right side
    30,784.56x = 813,997,023.69
  5. Step 5: Solve for x
    x = 813,997,023.69/30,784.56
  6. Step 6: Final answer
    x = 26,441.73

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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.