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Finding the Fourth Proportional to 32,108.78, 48,163.44 and 9,922.08

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Solution

The fourth proportional to 32,108.78, 48,163.44 and 9,922.08 is: 14,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,108.78 : 48,163.44 = 9,922.08 : x
  2. Step 2: Convert to fraction form
    32,108.78/48,163.44 = 9,922.08/x
  3. Step 3: Cross multiply
    32,108.78x = 48,163.44 × 9,922.08
  4. Step 4: Simplify right side
    32,108.78x = 477,881,504.76
  5. Step 5: Solve for x
    x = 477,881,504.76/32,108.78
  6. Step 6: Final answer
    x = 14,883.20

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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.