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Finding the Fourth Proportional to 32,048.12, 44,223.14 and 18,622.24

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Solution

The fourth proportional to 32,048.12, 44,223.14 and 18,622.24 is: 25,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048.12 : 44,223.14 = 18,622.24 : x
  2. Step 2: Convert to fraction form
    32,048.12/44,223.14 = 18,622.24/x
  3. Step 3: Cross multiply
    32,048.12x = 44,223.14 × 18,622.24
  4. Step 4: Simplify right side
    32,048.12x = 823,533,926.63
  5. Step 5: Solve for x
    x = 823,533,926.63/32,048.12
  6. Step 6: Final answer
    x = 25,696.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.