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Finding the Fourth Proportional to 77,373.54, 106,794.46 and 47,175.50

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Solution

The fourth proportional to 77,373.54, 106,794.46 and 47,175.50 is: 65,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,373.54 : 106,794.46 = 47,175.50 : x
  2. Step 2: Convert to fraction form
    77,373.54/106,794.46 = 47,175.50/x
  3. Step 3: Cross multiply
    77,373.54x = 106,794.46 × 47,175.50
  4. Step 4: Simplify right side
    77,373.54x = 5,038,082,047.73
  5. Step 5: Solve for x
    x = 5,038,082,047.73/77,373.54
  6. Step 6: Final answer
    x = 65,113.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.