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Finding the Fourth Proportional to 65,446.74, 97,964.97 and 45,064.58

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Solution

The fourth proportional to 65,446.74, 97,964.97 and 45,064.58 is: 67,455.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,446.74 : 97,964.97 = 45,064.58 : x
  2. Step 2: Convert to fraction form
    65,446.74/97,964.97 = 45,064.58/x
  3. Step 3: Cross multiply
    65,446.74x = 97,964.97 × 45,064.58
  4. Step 4: Simplify right side
    65,446.74x = 4,414,750,227.76
  5. Step 5: Solve for x
    x = 4,414,750,227.76/65,446.74
  6. Step 6: Final answer
    x = 67,455.62

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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.