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Finding the Fourth Proportional to 34,009.20, 47,662.09 and 34,009.20

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Solution

The fourth proportional to 34,009.20, 47,662.09 and 34,009.20 is: 47,662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009.20 : 47,662.09 = 34,009.20 : x
  2. Step 2: Convert to fraction form
    34,009.20/47,662.09 = 34,009.20/x
  3. Step 3: Cross multiply
    34,009.20x = 47,662.09 × 34,009.20
  4. Step 4: Simplify right side
    34,009.20x = 1,620,949,466.21
  5. Step 5: Solve for x
    x = 1,620,949,466.21/34,009.20
  6. Step 6: Final answer
    x = 47,662.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.