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Finding the Fourth Proportional to 31,066.80, 42,871.68 and 16,920

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Solution

The fourth proportional to 31,066.80, 42,871.68 and 16,920 is: 23,349.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,066.80 : 42,871.68 = 16,920 : x
  2. Step 2: Convert to fraction form
    31,066.80/42,871.68 = 16,920/x
  3. Step 3: Cross multiply
    31,066.80x = 42,871.68 × 16,920
  4. Step 4: Simplify right side
    31,066.80x = 725,388,825.60
  5. Step 5: Solve for x
    x = 725,388,825.60/31,066.80
  6. Step 6: Final answer
    x = 23,349.33

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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.