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Finding the Fourth Proportional to 31,857.75, 43,963.75 and 17,710.59

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Solution

The fourth proportional to 31,857.75, 43,963.75 and 17,710.59 is: 24,440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,857.75 : 43,963.75 = 17,710.59 : x
  2. Step 2: Convert to fraction form
    31,857.75/43,963.75 = 17,710.59/x
  3. Step 3: Cross multiply
    31,857.75x = 43,963.75 × 17,710.59
  4. Step 4: Simplify right side
    31,857.75x = 778,624,038.49
  5. Step 5: Solve for x
    x = 778,624,038.49/31,857.75
  6. Step 6: Final answer
    x = 24,440.65

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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.