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Finding the Fourth Proportional to 31,046.76, 42,845.09 and 16,899.84

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Solution

The fourth proportional to 31,046.76, 42,845.09 and 16,899.84 is: 23,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.76 : 42,845.09 = 16,899.84 : x
  2. Step 2: Convert to fraction form
    31,046.76/42,845.09 = 16,899.84/x
  3. Step 3: Cross multiply
    31,046.76x = 42,845.09 × 16,899.84
  4. Step 4: Simplify right side
    31,046.76x = 724,075,081.29
  5. Step 5: Solve for x
    x = 724,075,081.29/31,046.76
  6. Step 6: Final answer
    x = 23,322.08

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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.