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Finding the Fourth Proportional to 34,564.46, 47,700.03 and 19,661.42

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Solution

The fourth proportional to 34,564.46, 47,700.03 and 19,661.42 is: 27,133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,564.46 : 47,700.03 = 19,661.42 : x
  2. Step 2: Convert to fraction form
    34,564.46/47,700.03 = 19,661.42/x
  3. Step 3: Cross multiply
    34,564.46x = 47,700.03 × 19,661.42
  4. Step 4: Simplify right side
    34,564.46x = 937,850,323.84
  5. Step 5: Solve for x
    x = 937,850,323.84/34,564.46
  6. Step 6: Final answer
    x = 27,133.37

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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.