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Finding the Fourth Proportional to 31,101.96, 42,920.64 and 16,954.80

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Solution

The fourth proportional to 31,101.96, 42,920.64 and 16,954.80 is: 23,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,101.96 : 42,920.64 = 16,954.80 : x
  2. Step 2: Convert to fraction form
    31,101.96/42,920.64 = 16,954.80/x
  3. Step 3: Cross multiply
    31,101.96x = 42,920.64 × 16,954.80
  4. Step 4: Simplify right side
    31,101.96x = 727,710,867.07
  5. Step 5: Solve for x
    x = 727,710,867.07/31,101.96
  6. Step 6: Final answer
    x = 23,397.59

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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.