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Finding the Fourth Proportional to 91,408.86, 137,094.09 and 25,729.50

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Solution

The fourth proportional to 91,408.86, 137,094.09 and 25,729.50 is: 38,588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,408.86 : 137,094.09 = 25,729.50 : x
  2. Step 2: Convert to fraction form
    91,408.86/137,094.09 = 25,729.50/x
  3. Step 3: Cross multiply
    91,408.86x = 137,094.09 × 25,729.50
  4. Step 4: Simplify right side
    91,408.86x = 3,527,362,388.66
  5. Step 5: Solve for x
    x = 3,527,362,388.66/91,408.86
  6. Step 6: Final answer
    x = 38,588.85

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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.