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Finding the Fourth Proportional to 37,444, 51,672.72 and 24,196

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Solution

The fourth proportional to 37,444, 51,672.72 and 24,196 is: 33,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,444 : 51,672.72 = 24,196 : x
  2. Step 2: Convert to fraction form
    37,444/51,672.72 = 24,196/x
  3. Step 3: Cross multiply
    37,444x = 51,672.72 × 24,196
  4. Step 4: Simplify right side
    37,444x = 1,250,273,133.12
  5. Step 5: Solve for x
    x = 1,250,273,133.12/37,444
  6. Step 6: Final answer
    x = 33,390.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.