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Finding the Fourth Proportional to 73,205.25, 101,023.25 and 39,671.25

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Solution

The fourth proportional to 73,205.25, 101,023.25 and 39,671.25 is: 54,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,205.25 : 101,023.25 = 39,671.25 : x
  2. Step 2: Convert to fraction form
    73,205.25/101,023.25 = 39,671.25/x
  3. Step 3: Cross multiply
    73,205.25x = 101,023.25 × 39,671.25
  4. Step 4: Simplify right side
    73,205.25x = 4,007,718,408.21
  5. Step 5: Solve for x
    x = 4,007,718,408.21/73,205.25
  6. Step 6: Final answer
    x = 54,746.33

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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.