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Finding the Fourth Proportional to 76,415.52, 114,626.22 and 36,413.88

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Solution

The fourth proportional to 76,415.52, 114,626.22 and 36,413.88 is: 54,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,415.52 : 114,626.22 = 36,413.88 : x
  2. Step 2: Convert to fraction form
    76,415.52/114,626.22 = 36,413.88/x
  3. Step 3: Cross multiply
    76,415.52x = 114,626.22 × 36,413.88
  4. Step 4: Simplify right side
    76,415.52x = 4,173,985,419.93
  5. Step 5: Solve for x
    x = 4,173,985,419.93/76,415.52
  6. Step 6: Final answer
    x = 54,622.22

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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.