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Finding the Fourth Proportional to 81,970.20, 122,969.70 and 29,410.20

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Solution

The fourth proportional to 81,970.20, 122,969.70 and 29,410.20 is: 44,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,970.20 : 122,969.70 = 29,410.20 : x
  2. Step 2: Convert to fraction form
    81,970.20/122,969.70 = 29,410.20/x
  3. Step 3: Cross multiply
    81,970.20x = 122,969.70 × 29,410.20
  4. Step 4: Simplify right side
    81,970.20x = 3,616,563,470.94
  5. Step 5: Solve for x
    x = 3,616,563,470.94/81,970.20
  6. Step 6: Final answer
    x = 44,120.47

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1.5x scale

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.