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Finding the Fourth Proportional to 37,762.54, 56,643.90 and 11,467.48

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Solution

The fourth proportional to 37,762.54, 56,643.90 and 11,467.48 is: 17,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762.54 : 56,643.90 = 11,467.48 : x
  2. Step 2: Convert to fraction form
    37,762.54/56,643.90 = 11,467.48/x
  3. Step 3: Cross multiply
    37,762.54x = 56,643.90 × 11,467.48
  4. Step 4: Simplify right side
    37,762.54x = 649,562,790.37
  5. Step 5: Solve for x
    x = 649,562,790.37/37,762.54
  6. Step 6: Final answer
    x = 17,201.25

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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.