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Finding the Fourth Proportional to 31,430.64, 43,394.76 and 19,511.49

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Solution

The fourth proportional to 31,430.64, 43,394.76 and 19,511.49 is: 26,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430.64 : 43,394.76 = 19,511.49 : x
  2. Step 2: Convert to fraction form
    31,430.64/43,394.76 = 19,511.49/x
  3. Step 3: Cross multiply
    31,430.64x = 43,394.76 × 19,511.49
  4. Step 4: Simplify right side
    31,430.64x = 846,696,425.79
  5. Step 5: Solve for x
    x = 846,696,425.79/31,430.64
  6. Step 6: Final answer
    x = 26,938.57

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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.