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Finding the Fourth Proportional to 71,004.52, 106,509.48 and 23,623.84

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Solution

The fourth proportional to 71,004.52, 106,509.48 and 23,623.84 is: 35,436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,004.52 : 106,509.48 = 23,623.84 : x
  2. Step 2: Convert to fraction form
    71,004.52/106,509.48 = 23,623.84/x
  3. Step 3: Cross multiply
    71,004.52x = 106,509.48 × 23,623.84
  4. Step 4: Simplify right side
    71,004.52x = 2,516,162,914.00
  5. Step 5: Solve for x
    x = 2,516,162,914.00/71,004.52
  6. Step 6: Final answer
    x = 35,436.66

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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.