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Finding the Fourth Proportional to 31,632.42, 43,657.08 and 18,203.40

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Solution

The fourth proportional to 31,632.42, 43,657.08 and 18,203.40 is: 25,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,632.42 : 43,657.08 = 18,203.40 : x
  2. Step 2: Convert to fraction form
    31,632.42/43,657.08 = 18,203.40/x
  3. Step 3: Cross multiply
    31,632.42x = 43,657.08 × 18,203.40
  4. Step 4: Simplify right side
    31,632.42x = 794,707,290.07
  5. Step 5: Solve for x
    x = 794,707,290.07/31,632.42
  6. Step 6: Final answer
    x = 25,123.19

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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.