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Finding the Fourth Proportional to 31,503.40, 43,489.08 and 22,434.64

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Solution

The fourth proportional to 31,503.40, 43,489.08 and 22,434.64 is: 30,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,503.40 : 43,489.08 = 22,434.64 : x
  2. Step 2: Convert to fraction form
    31,503.40/43,489.08 = 22,434.64/x
  3. Step 3: Cross multiply
    31,503.40x = 43,489.08 × 22,434.64
  4. Step 4: Simplify right side
    31,503.40x = 975,661,853.73
  5. Step 5: Solve for x
    x = 975,661,853.73/31,503.40
  6. Step 6: Final answer
    x = 30,970.05

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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.