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Finding the Fourth Proportional to 41,537.84, 57,313.46 and 26,425

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Solution

The fourth proportional to 41,537.84, 57,313.46 and 26,425 is: 36,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,537.84 : 57,313.46 = 26,425 : x
  2. Step 2: Convert to fraction form
    41,537.84/57,313.46 = 26,425/x
  3. Step 3: Cross multiply
    41,537.84x = 57,313.46 × 26,425
  4. Step 4: Simplify right side
    41,537.84x = 1,514,508,180.50
  5. Step 5: Solve for x
    x = 1,514,508,180.50/41,537.84
  6. Step 6: Final answer
    x = 36,460.93

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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.