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Finding the Fourth Proportional to 37,009.54, 55,515 and 12,049.50

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Solution

The fourth proportional to 37,009.54, 55,515 and 12,049.50 is: 18,074.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,009.54 : 55,515 = 12,049.50 : x
  2. Step 2: Convert to fraction form
    37,009.54/55,515 = 12,049.50/x
  3. Step 3: Cross multiply
    37,009.54x = 55,515 × 12,049.50
  4. Step 4: Simplify right side
    37,009.54x = 668,927,992.50
  5. Step 5: Solve for x
    x = 668,927,992.50/37,009.54
  6. Step 6: Final answer
    x = 18,074.47

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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.