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Finding the Fourth Proportional to 34,662.94, 47,842.50 and 22,542.34

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Solution

The fourth proportional to 34,662.94, 47,842.50 and 22,542.34 is: 31,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,662.94 : 47,842.50 = 22,542.34 : x
  2. Step 2: Convert to fraction form
    34,662.94/47,842.50 = 22,542.34/x
  3. Step 3: Cross multiply
    34,662.94x = 47,842.50 × 22,542.34
  4. Step 4: Simplify right side
    34,662.94x = 1,078,481,901.45
  5. Step 5: Solve for x
    x = 1,078,481,901.45/34,662.94
  6. Step 6: Final answer
    x = 31,113.40

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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.