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Finding the Fourth Proportional to 72,906.75, 109,282.37 and 37,798.11

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Solution

The fourth proportional to 72,906.75, 109,282.37 and 37,798.11 is: 56,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,906.75 : 109,282.37 = 37,798.11 : x
  2. Step 2: Convert to fraction form
    72,906.75/109,282.37 = 37,798.11/x
  3. Step 3: Cross multiply
    72,906.75x = 109,282.37 × 37,798.11
  4. Step 4: Simplify right side
    72,906.75x = 4,130,666,853.33
  5. Step 5: Solve for x
    x = 4,130,666,853.33/72,906.75
  6. Step 6: Final answer
    x = 56,656.85

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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.