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Finding the Fourth Proportional to 37,468.08, 56,201.04 and 9,766.08

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Solution

The fourth proportional to 37,468.08, 56,201.04 and 9,766.08 is: 14,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,468.08 : 56,201.04 = 9,766.08 : x
  2. Step 2: Convert to fraction form
    37,468.08/56,201.04 = 9,766.08/x
  3. Step 3: Cross multiply
    37,468.08x = 56,201.04 × 9,766.08
  4. Step 4: Simplify right side
    37,468.08x = 548,863,852.72
  5. Step 5: Solve for x
    x = 548,863,852.72/37,468.08
  6. Step 6: Final answer
    x = 14,648.84

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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.