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Finding the Fourth Proportional to 31,790.46, 43,870.41 and 17,643

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Solution

The fourth proportional to 31,790.46, 43,870.41 and 17,643 is: 24,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,790.46 : 43,870.41 = 17,643 : x
  2. Step 2: Convert to fraction form
    31,790.46/43,870.41 = 17,643/x
  3. Step 3: Cross multiply
    31,790.46x = 43,870.41 × 17,643
  4. Step 4: Simplify right side
    31,790.46x = 774,005,643.63
  5. Step 5: Solve for x
    x = 774,005,643.63/31,790.46
  6. Step 6: Final answer
    x = 24,347.10

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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.