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Finding the Fourth Proportional to 23,048.70, 34,573.74 and 6,409.98

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Solution

The fourth proportional to 23,048.70, 34,573.74 and 6,409.98 is: 9,615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048.70 : 34,573.74 = 6,409.98 : x
  2. Step 2: Convert to fraction form
    23,048.70/34,573.74 = 6,409.98/x
  3. Step 3: Cross multiply
    23,048.70x = 34,573.74 × 6,409.98
  4. Step 4: Simplify right side
    23,048.70x = 221,616,981.93
  5. Step 5: Solve for x
    x = 221,616,981.93/23,048.70
  6. Step 6: Final answer
    x = 9,615.16

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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.