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Finding the Fourth Proportional to 66,138.60, 91,271.70 and 37,845

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Solution

The fourth proportional to 66,138.60, 91,271.70 and 37,845 is: 52,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,138.60 : 91,271.70 = 37,845 : x
  2. Step 2: Convert to fraction form
    66,138.60/91,271.70 = 37,845/x
  3. Step 3: Cross multiply
    66,138.60x = 91,271.70 × 37,845
  4. Step 4: Simplify right side
    66,138.60x = 3,454,177,486.50
  5. Step 5: Solve for x
    x = 3,454,177,486.50/66,138.60
  6. Step 6: Final answer
    x = 52,226.35

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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.