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Finding the Fourth Proportional to 70,515, 97,311.60 and 38,683.20

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Solution

The fourth proportional to 70,515, 97,311.60 and 38,683.20 is: 53,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,515 : 97,311.60 = 38,683.20 : x
  2. Step 2: Convert to fraction form
    70,515/97,311.60 = 38,683.20/x
  3. Step 3: Cross multiply
    70,515x = 97,311.60 × 38,683.20
  4. Step 4: Simplify right side
    70,515x = 3,764,324,085.12
  5. Step 5: Solve for x
    x = 3,764,324,085.12/70,515
  6. Step 6: Final answer
    x = 53,383.31

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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.