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Finding the Fourth Proportional to 75,977.36, 113,922 and 36,480.56

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Solution

The fourth proportional to 75,977.36, 113,922 and 36,480.56 is: 54,699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,977.36 : 113,922 = 36,480.56 : x
  2. Step 2: Convert to fraction form
    75,977.36/113,922 = 36,480.56/x
  3. Step 3: Cross multiply
    75,977.36x = 113,922 × 36,480.56
  4. Step 4: Simplify right side
    75,977.36x = 4,155,938,356.32
  5. Step 5: Solve for x
    x = 4,155,938,356.32/75,977.36
  6. Step 6: Final answer
    x = 54,699.69

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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.