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Finding the Fourth Proportional to 49,257, 67,975.06 and 26,901

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Solution

The fourth proportional to 49,257, 67,975.06 and 26,901 is: 37,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,257 : 67,975.06 = 26,901 : x
  2. Step 2: Convert to fraction form
    49,257/67,975.06 = 26,901/x
  3. Step 3: Cross multiply
    49,257x = 67,975.06 × 26,901
  4. Step 4: Simplify right side
    49,257x = 1,828,597,089.06
  5. Step 5: Solve for x
    x = 1,828,597,089.06/49,257
  6. Step 6: Final answer
    x = 37,123.60

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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.