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Finding the Fourth Proportional to 31,043.61, 42,840.36 and 16,896.42

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Solution

The fourth proportional to 31,043.61, 42,840.36 and 16,896.42 is: 23,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,043.61 : 42,840.36 = 16,896.42 : x
  2. Step 2: Convert to fraction form
    31,043.61/42,840.36 = 16,896.42/x
  3. Step 3: Cross multiply
    31,043.61x = 42,840.36 × 16,896.42
  4. Step 4: Simplify right side
    31,043.61x = 723,848,715.51
  5. Step 5: Solve for x
    x = 723,848,715.51/31,043.61
  6. Step 6: Final answer
    x = 23,317.16

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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.