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Finding the Fourth Proportional to 23,475.79, 35,219.46 and 6,835.98

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Solution

The fourth proportional to 23,475.79, 35,219.46 and 6,835.98 is: 10,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,475.79 : 35,219.46 = 6,835.98 : x
  2. Step 2: Convert to fraction form
    23,475.79/35,219.46 = 6,835.98/x
  3. Step 3: Cross multiply
    23,475.79x = 35,219.46 × 6,835.98
  4. Step 4: Simplify right side
    23,475.79x = 240,759,524.17
  5. Step 5: Solve for x
    x = 240,759,524.17/23,475.79
  6. Step 6: Final answer
    x = 10,255.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.