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Finding the Fourth Proportional to 76,822.40, 115,298.40 and 37,413.20

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Solution

The fourth proportional to 76,822.40, 115,298.40 and 37,413.20 is: 56,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,822.40 : 115,298.40 = 37,413.20 : x
  2. Step 2: Convert to fraction form
    76,822.40/115,298.40 = 37,413.20/x
  3. Step 3: Cross multiply
    76,822.40x = 115,298.40 × 37,413.20
  4. Step 4: Simplify right side
    76,822.40x = 4,313,682,098.88
  5. Step 5: Solve for x
    x = 4,313,682,098.88/76,822.40
  6. Step 6: Final answer
    x = 56,151.36

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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.