Home / 75,823.14-113,742-23,223.36

Finding the Fourth Proportional to 75,823.14, 113,742 and 23,223.36

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Solution

The fourth proportional to 75,823.14, 113,742 and 23,223.36 is: 34,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,823.14 : 113,742 = 23,223.36 : x
  2. Step 2: Convert to fraction form
    75,823.14/113,742 = 23,223.36/x
  3. Step 3: Cross multiply
    75,823.14x = 113,742 × 23,223.36
  4. Step 4: Simplify right side
    75,823.14x = 2,641,471,413.12
  5. Step 5: Solve for x
    x = 2,641,471,413.12/75,823.14
  6. Step 6: Final answer
    x = 34,837.27

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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.