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Finding the Fourth Proportional to 34,564.65, 47,674.63 and 23,073.77

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Solution

The fourth proportional to 34,564.65, 47,674.63 and 23,073.77 is: 31,825.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,564.65 : 47,674.63 = 23,073.77 : x
  2. Step 2: Convert to fraction form
    34,564.65/47,674.63 = 23,073.77/x
  3. Step 3: Cross multiply
    34,564.65x = 47,674.63 × 23,073.77
  4. Step 4: Simplify right side
    34,564.65x = 1,100,033,447.46
  5. Step 5: Solve for x
    x = 1,100,033,447.46/34,564.65
  6. Step 6: Final answer
    x = 31,825.39

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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.