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Finding the Fourth Proportional to 38,466.36, 53,059.32 and 29,500.20

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Solution

The fourth proportional to 38,466.36, 53,059.32 and 29,500.20 is: 40,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,466.36 : 53,059.32 = 29,500.20 : x
  2. Step 2: Convert to fraction form
    38,466.36/53,059.32 = 29,500.20/x
  3. Step 3: Cross multiply
    38,466.36x = 53,059.32 × 29,500.20
  4. Step 4: Simplify right side
    38,466.36x = 1,565,260,551.86
  5. Step 5: Solve for x
    x = 1,565,260,551.86/38,466.36
  6. Step 6: Final answer
    x = 40,691.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.