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Finding the Fourth Proportional to 31,504.40, 43,490.46 and 22,435.64

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Solution

The fourth proportional to 31,504.40, 43,490.46 and 22,435.64 is: 30,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,504.40 : 43,490.46 = 22,435.64 : x
  2. Step 2: Convert to fraction form
    31,504.40/43,490.46 = 22,435.64/x
  3. Step 3: Cross multiply
    31,504.40x = 43,490.46 × 22,435.64
  4. Step 4: Simplify right side
    31,504.40x = 975,736,303.99
  5. Step 5: Solve for x
    x = 975,736,303.99/31,504.40
  6. Step 6: Final answer
    x = 30,971.43

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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.