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Finding the Fourth Proportional to 47,661.34, 71,469.19 and 17,655.01

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Solution

The fourth proportional to 47,661.34, 71,469.19 and 17,655.01 is: 26,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,661.34 : 71,469.19 = 17,655.01 : x
  2. Step 2: Convert to fraction form
    47,661.34/71,469.19 = 17,655.01/x
  3. Step 3: Cross multiply
    47,661.34x = 71,469.19 × 17,655.01
  4. Step 4: Simplify right side
    47,661.34x = 1,261,789,410.24
  5. Step 5: Solve for x
    x = 1,261,789,410.24/47,661.34
  6. Step 6: Final answer
    x = 26,474.07

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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.