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Finding the Fourth Proportional to 31,650, 43,677 and 19,077.36

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Solution

The fourth proportional to 31,650, 43,677 and 19,077.36 is: 26,326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,650 : 43,677 = 19,077.36 : x
  2. Step 2: Convert to fraction form
    31,650/43,677 = 19,077.36/x
  3. Step 3: Cross multiply
    31,650x = 43,677 × 19,077.36
  4. Step 4: Simplify right side
    31,650x = 833,241,852.72
  5. Step 5: Solve for x
    x = 833,241,852.72/31,650
  6. Step 6: Final answer
    x = 26,326.76

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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.