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Finding the Fourth Proportional to 96,297.28, 144,496.28 and 39,413.40

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Solution

The fourth proportional to 96,297.28, 144,496.28 and 39,413.40 is: 59,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,297.28 : 144,496.28 = 39,413.40 : x
  2. Step 2: Convert to fraction form
    96,297.28/144,496.28 = 39,413.40/x
  3. Step 3: Cross multiply
    96,297.28x = 144,496.28 × 39,413.40
  4. Step 4: Simplify right side
    96,297.28x = 5,695,089,682.15
  5. Step 5: Solve for x
    x = 5,695,089,682.15/96,297.28
  6. Step 6: Final answer
    x = 59,140.71

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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.