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Finding the Fourth Proportional to 30,608.76, 45,913.86 and 9,832.44

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Solution

The fourth proportional to 30,608.76, 45,913.86 and 9,832.44 is: 14,748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,608.76 : 45,913.86 = 9,832.44 : x
  2. Step 2: Convert to fraction form
    30,608.76/45,913.86 = 9,832.44/x
  3. Step 3: Cross multiply
    30,608.76x = 45,913.86 × 9,832.44
  4. Step 4: Simplify right side
    30,608.76x = 451,445,273.62
  5. Step 5: Solve for x
    x = 451,445,273.62/30,608.76
  6. Step 6: Final answer
    x = 14,748.89

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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.