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Finding the Fourth Proportional to 34,569, 47,604.75 and 30,029.60

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Solution

The fourth proportional to 34,569, 47,604.75 and 30,029.60 is: 41,353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,569 : 47,604.75 = 30,029.60 : x
  2. Step 2: Convert to fraction form
    34,569/47,604.75 = 30,029.60/x
  3. Step 3: Cross multiply
    34,569x = 47,604.75 × 30,029.60
  4. Step 4: Simplify right side
    34,569x = 1,429,551,362.58
  5. Step 5: Solve for x
    x = 1,429,551,362.58/34,569
  6. Step 6: Final answer
    x = 41,353.56

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1.5x scale

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.