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Finding the Fourth Proportional to 31,810.42, 43,897.05 and 17,662.42

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Solution

The fourth proportional to 31,810.42, 43,897.05 and 17,662.42 is: 24,373.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,810.42 : 43,897.05 = 17,662.42 : x
  2. Step 2: Convert to fraction form
    31,810.42/43,897.05 = 17,662.42/x
  3. Step 3: Cross multiply
    31,810.42x = 43,897.05 × 17,662.42
  4. Step 4: Simplify right side
    31,810.42x = 775,328,133.86
  5. Step 5: Solve for x
    x = 775,328,133.86/31,810.42
  6. Step 6: Final answer
    x = 24,373.40

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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.