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Finding the Fourth Proportional to 70,644.30, 97,488.73 and 38,378.64

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Solution

The fourth proportional to 70,644.30, 97,488.73 and 38,378.64 is: 52,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,644.30 : 97,488.73 = 38,378.64 : x
  2. Step 2: Convert to fraction form
    70,644.30/97,488.73 = 38,378.64/x
  3. Step 3: Cross multiply
    70,644.30x = 97,488.73 × 38,378.64
  4. Step 4: Simplify right side
    70,644.30x = 3,741,484,872.73
  5. Step 5: Solve for x
    x = 3,741,484,872.73/70,644.30
  6. Step 6: Final answer
    x = 52,962.30

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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.