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Finding the Fourth Proportional to 65,745.60, 98,564.40 and 28,334.40

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Solution

The fourth proportional to 65,745.60, 98,564.40 and 28,334.40 is: 42,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,745.60 : 98,564.40 = 28,334.40 : x
  2. Step 2: Convert to fraction form
    65,745.60/98,564.40 = 28,334.40/x
  3. Step 3: Cross multiply
    65,745.60x = 98,564.40 × 28,334.40
  4. Step 4: Simplify right side
    65,745.60x = 2,792,763,135.36
  5. Step 5: Solve for x
    x = 2,792,763,135.36/65,745.60
  6. Step 6: Final answer
    x = 42,478.33

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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.