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Finding the Fourth Proportional to 70,946.56, 106,258.74 and 55,023.76

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Solution

The fourth proportional to 70,946.56, 106,258.74 and 55,023.76 is: 82,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,946.56 : 106,258.74 = 55,023.76 : x
  2. Step 2: Convert to fraction form
    70,946.56/106,258.74 = 55,023.76/x
  3. Step 3: Cross multiply
    70,946.56x = 106,258.74 × 55,023.76
  4. Step 4: Simplify right side
    70,946.56x = 5,846,755,407.66
  5. Step 5: Solve for x
    x = 5,846,755,407.66/70,946.56
  6. Step 6: Final answer
    x = 82,410.70

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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.