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Finding the Fourth Proportional to 73,594.76, 109,826.57 and 65,721.16

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Solution

The fourth proportional to 73,594.76, 109,826.57 and 65,721.16 is: 98,076.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,594.76 : 109,826.57 = 65,721.16 : x
  2. Step 2: Convert to fraction form
    73,594.76/109,826.57 = 65,721.16/x
  3. Step 3: Cross multiply
    73,594.76x = 109,826.57 × 65,721.16
  4. Step 4: Simplify right side
    73,594.76x = 7,217,929,579.22
  5. Step 5: Solve for x
    x = 7,217,929,579.22/73,594.76
  6. Step 6: Final answer
    x = 98,076.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.