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Finding the Fourth Proportional to 76,906.40, 115,424.40 and 37,497.20

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Solution

The fourth proportional to 76,906.40, 115,424.40 and 37,497.20 is: 56,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,906.40 : 115,424.40 = 37,497.20 : x
  2. Step 2: Convert to fraction form
    76,906.40/115,424.40 = 37,497.20/x
  3. Step 3: Cross multiply
    76,906.40x = 115,424.40 × 37,497.20
  4. Step 4: Simplify right side
    76,906.40x = 4,328,091,811.68
  5. Step 5: Solve for x
    x = 4,328,091,811.68/76,906.40
  6. Step 6: Final answer
    x = 56,277.39

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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.