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Finding the Fourth Proportional to 36,942.28, 55,406.46 and 9,925

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Solution

The fourth proportional to 36,942.28, 55,406.46 and 9,925 is: 14,885.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,942.28 : 55,406.46 = 9,925 : x
  2. Step 2: Convert to fraction form
    36,942.28/55,406.46 = 9,925/x
  3. Step 3: Cross multiply
    36,942.28x = 55,406.46 × 9,925
  4. Step 4: Simplify right side
    36,942.28x = 549,909,115.50
  5. Step 5: Solve for x
    x = 549,909,115.50/36,942.28
  6. Step 6: Final answer
    x = 14,885.63

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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.