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Finding the Fourth Proportional to 32,162.97, 44,362.74 and 22,623.09

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Solution

The fourth proportional to 32,162.97, 44,362.74 and 22,623.09 is: 31,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,162.97 : 44,362.74 = 22,623.09 : x
  2. Step 2: Convert to fraction form
    32,162.97/44,362.74 = 22,623.09/x
  3. Step 3: Cross multiply
    32,162.97x = 44,362.74 × 22,623.09
  4. Step 4: Simplify right side
    32,162.97x = 1,003,622,259.67
  5. Step 5: Solve for x
    x = 1,003,622,259.67/32,162.97
  6. Step 6: Final answer
    x = 31,204.28

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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.