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Finding the Fourth Proportional to 31,047, 42,844.86 and 16,899.95

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Solution

The fourth proportional to 31,047, 42,844.86 and 16,899.95 is: 23,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047 : 42,844.86 = 16,899.95 : x
  2. Step 2: Convert to fraction form
    31,047/42,844.86 = 16,899.95/x
  3. Step 3: Cross multiply
    31,047x = 42,844.86 × 16,899.95
  4. Step 4: Simplify right side
    31,047x = 724,075,777.53
  5. Step 5: Solve for x
    x = 724,075,777.53/31,047
  6. Step 6: Final answer
    x = 23,321.92

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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.