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Finding the Fourth Proportional to 47,735.52, 71,604 and 16,571.76

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Solution

The fourth proportional to 47,735.52, 71,604 and 16,571.76 is: 24,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,735.52 : 71,604 = 16,571.76 : x
  2. Step 2: Convert to fraction form
    47,735.52/71,604 = 16,571.76/x
  3. Step 3: Cross multiply
    47,735.52x = 71,604 × 16,571.76
  4. Step 4: Simplify right side
    47,735.52x = 1,186,604,303.04
  5. Step 5: Solve for x
    x = 1,186,604,303.04/47,735.52
  6. Step 6: Final answer
    x = 24,857.89

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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.