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Finding the Fourth Proportional to 70,974.35, 97,951.50 and 53,038.20

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Solution

The fourth proportional to 70,974.35, 97,951.50 and 53,038.20 is: 73,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,974.35 : 97,951.50 = 53,038.20 : x
  2. Step 2: Convert to fraction form
    70,974.35/97,951.50 = 53,038.20/x
  3. Step 3: Cross multiply
    70,974.35x = 97,951.50 × 53,038.20
  4. Step 4: Simplify right side
    70,974.35x = 5,195,171,247.30
  5. Step 5: Solve for x
    x = 5,195,171,247.30/70,974.35
  6. Step 6: Final answer
    x = 73,197.87

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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.