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Finding the Fourth Proportional to 37,218.50, 55,758.42 and 18,477.20

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Solution

The fourth proportional to 37,218.50, 55,758.42 and 18,477.20 is: 27,681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,218.50 : 55,758.42 = 18,477.20 : x
  2. Step 2: Convert to fraction form
    37,218.50/55,758.42 = 18,477.20/x
  3. Step 3: Cross multiply
    37,218.50x = 55,758.42 × 18,477.20
  4. Step 4: Simplify right side
    37,218.50x = 1,030,259,478.02
  5. Step 5: Solve for x
    x = 1,030,259,478.02/37,218.50
  6. Step 6: Final answer
    x = 27,681.38

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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.