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Finding the Fourth Proportional to 31,075.36, 42,884.07 and 16,927.90

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Solution

The fourth proportional to 31,075.36, 42,884.07 and 16,927.90 is: 23,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,075.36 : 42,884.07 = 16,927.90 : x
  2. Step 2: Convert to fraction form
    31,075.36/42,884.07 = 16,927.90/x
  3. Step 3: Cross multiply
    31,075.36x = 42,884.07 × 16,927.90
  4. Step 4: Simplify right side
    31,075.36x = 725,937,077.86
  5. Step 5: Solve for x
    x = 725,937,077.86/31,075.36
  6. Step 6: Final answer
    x = 23,360.54

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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.