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Finding the Fourth Proportional to 31,798.17, 43,881.48 and 17,650.98

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Solution

The fourth proportional to 31,798.17, 43,881.48 and 17,650.98 is: 24,358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,798.17 : 43,881.48 = 17,650.98 : x
  2. Step 2: Convert to fraction form
    31,798.17/43,881.48 = 17,650.98/x
  3. Step 3: Cross multiply
    31,798.17x = 43,881.48 × 17,650.98
  4. Step 4: Simplify right side
    31,798.17x = 774,551,125.85
  5. Step 5: Solve for x
    x = 774,551,125.85/31,798.17
  6. Step 6: Final answer
    x = 24,358.36

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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.