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Finding the Fourth Proportional to 31,648.64, 43,675.20 and 19,075.82

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Solution

The fourth proportional to 31,648.64, 43,675.20 and 19,075.82 is: 26,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648.64 : 43,675.20 = 19,075.82 : x
  2. Step 2: Convert to fraction form
    31,648.64/43,675.20 = 19,075.82/x
  3. Step 3: Cross multiply
    31,648.64x = 43,675.20 × 19,075.82
  4. Step 4: Simplify right side
    31,648.64x = 833,140,253.66
  5. Step 5: Solve for x
    x = 833,140,253.66/31,648.64
  6. Step 6: Final answer
    x = 26,324.68

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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.