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Finding the Fourth Proportional to 31,709.30, 43,759.35 and 17,368.92

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Solution

The fourth proportional to 31,709.30, 43,759.35 and 17,368.92 is: 23,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.30 : 43,759.35 = 17,368.92 : x
  2. Step 2: Convert to fraction form
    31,709.30/43,759.35 = 17,368.92/x
  3. Step 3: Cross multiply
    31,709.30x = 43,759.35 × 17,368.92
  4. Step 4: Simplify right side
    31,709.30x = 760,052,649.40
  5. Step 5: Solve for x
    x = 760,052,649.40/31,709.30
  6. Step 6: Final answer
    x = 23,969.40

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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.