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Finding the Fourth Proportional to 37,206, 55,809 and 23,364.72

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Solution

The fourth proportional to 37,206, 55,809 and 23,364.72 is: 35,047.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,206 : 55,809 = 23,364.72 : x
  2. Step 2: Convert to fraction form
    37,206/55,809 = 23,364.72/x
  3. Step 3: Cross multiply
    37,206x = 55,809 × 23,364.72
  4. Step 4: Simplify right side
    37,206x = 1,303,961,658.48
  5. Step 5: Solve for x
    x = 1,303,961,658.48/37,206
  6. Step 6: Final answer
    x = 35,047.08

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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.