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Finding the Fourth Proportional to 31,018.68, 42,801.90 and 20,968.98

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Solution

The fourth proportional to 31,018.68, 42,801.90 and 20,968.98 is: 28,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,018.68 : 42,801.90 = 20,968.98 : x
  2. Step 2: Convert to fraction form
    31,018.68/42,801.90 = 20,968.98/x
  3. Step 3: Cross multiply
    31,018.68x = 42,801.90 × 20,968.98
  4. Step 4: Simplify right side
    31,018.68x = 897,512,185.06
  5. Step 5: Solve for x
    x = 897,512,185.06/31,018.68
  6. Step 6: Final answer
    x = 28,934.57

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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.