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Finding the Fourth Proportional to 85,946.57, 118,604.04 and 47,704.14

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Solution

The fourth proportional to 85,946.57, 118,604.04 and 47,704.14 is: 65,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,946.57 : 118,604.04 = 47,704.14 : x
  2. Step 2: Convert to fraction form
    85,946.57/118,604.04 = 47,704.14/x
  3. Step 3: Cross multiply
    85,946.57x = 118,604.04 × 47,704.14
  4. Step 4: Simplify right side
    85,946.57x = 5,657,903,105.07
  5. Step 5: Solve for x
    x = 5,657,903,105.07/85,946.57
  6. Step 6: Final answer
    x = 65,830.47

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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.