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Finding the Fourth Proportional to 31,051.32, 42,850.92 and 16,904.25

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Solution

The fourth proportional to 31,051.32, 42,850.92 and 16,904.25 is: 23,327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,051.32 : 42,850.92 = 16,904.25 : x
  2. Step 2: Convert to fraction form
    31,051.32/42,850.92 = 16,904.25/x
  3. Step 3: Cross multiply
    31,051.32x = 42,850.92 × 16,904.25
  4. Step 4: Simplify right side
    31,051.32x = 724,362,664.41
  5. Step 5: Solve for x
    x = 724,362,664.41/31,051.32
  6. Step 6: Final answer
    x = 23,327.92

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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.