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Finding the Fourth Proportional to 38,498.30, 57,743.67 and 26,097.98

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Solution

The fourth proportional to 38,498.30, 57,743.67 and 26,097.98 is: 39,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498.30 : 57,743.67 = 26,097.98 : x
  2. Step 2: Convert to fraction form
    38,498.30/57,743.67 = 26,097.98/x
  3. Step 3: Cross multiply
    38,498.30x = 57,743.67 × 26,097.98
  4. Step 4: Simplify right side
    38,498.30x = 1,506,993,144.79
  5. Step 5: Solve for x
    x = 1,506,993,144.79/38,498.30
  6. Step 6: Final answer
    x = 39,144.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.