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Finding the Fourth Proportional to 37,144, 55,718.56 and 12,177.44

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Solution

The fourth proportional to 37,144, 55,718.56 and 12,177.44 is: 18,267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,144 : 55,718.56 = 12,177.44 : x
  2. Step 2: Convert to fraction form
    37,144/55,718.56 = 12,177.44/x
  3. Step 3: Cross multiply
    37,144x = 55,718.56 × 12,177.44
  4. Step 4: Simplify right side
    37,144x = 678,509,421.29
  5. Step 5: Solve for x
    x = 678,509,421.29/37,144
  6. Step 6: Final answer
    x = 18,267.00

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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.