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Finding the Fourth Proportional to 73,258.91, 109,746.17 and 53,989.67

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Solution

The fourth proportional to 73,258.91, 109,746.17 and 53,989.67 is: 80,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,258.91 : 109,746.17 = 53,989.67 : x
  2. Step 2: Convert to fraction form
    73,258.91/109,746.17 = 53,989.67/x
  3. Step 3: Cross multiply
    73,258.91x = 109,746.17 × 53,989.67
  4. Step 4: Simplify right side
    73,258.91x = 5,925,160,012.63
  5. Step 5: Solve for x
    x = 5,925,160,012.63/73,258.91
  6. Step 6: Final answer
    x = 80,879.71

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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.