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Finding the Fourth Proportional to 31,075.16, 42,882.90 and 16,927.16

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Solution

The fourth proportional to 31,075.16, 42,882.90 and 16,927.16 is: 23,359.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,075.16 : 42,882.90 = 16,927.16 : x
  2. Step 2: Convert to fraction form
    31,075.16/42,882.90 = 16,927.16/x
  3. Step 3: Cross multiply
    31,075.16x = 42,882.90 × 16,927.16
  4. Step 4: Simplify right side
    31,075.16x = 725,885,709.56
  5. Step 5: Solve for x
    x = 725,885,709.56/31,075.16
  6. Step 6: Final answer
    x = 23,359.03

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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.