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Finding the Fourth Proportional to 74,509.76, 111,813.88 and 35,078.14

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Solution

The fourth proportional to 74,509.76, 111,813.88 and 35,078.14 is: 52,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,509.76 : 111,813.88 = 35,078.14 : x
  2. Step 2: Convert to fraction form
    74,509.76/111,813.88 = 35,078.14/x
  3. Step 3: Cross multiply
    74,509.76x = 111,813.88 × 35,078.14
  4. Step 4: Simplify right side
    74,509.76x = 3,922,222,936.58
  5. Step 5: Solve for x
    x = 3,922,222,936.58/74,509.76
  6. Step 6: Final answer
    x = 52,640.39

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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.