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Finding the Fourth Proportional to 31,157.65, 42,995.94 and 17,728.63

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Solution

The fourth proportional to 31,157.65, 42,995.94 and 17,728.63 is: 24,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,157.65 : 42,995.94 = 17,728.63 : x
  2. Step 2: Convert to fraction form
    31,157.65/42,995.94 = 17,728.63/x
  3. Step 3: Cross multiply
    31,157.65x = 42,995.94 × 17,728.63
  4. Step 4: Simplify right side
    31,157.65x = 762,259,111.76
  5. Step 5: Solve for x
    x = 762,259,111.76/31,157.65
  6. Step 6: Final answer
    x = 24,464.59

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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.