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Finding the Fourth Proportional to 42,021.64, 57,991.08 and 23,160

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Solution

The fourth proportional to 42,021.64, 57,991.08 and 23,160 is: 31,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,021.64 : 57,991.08 = 23,160 : x
  2. Step 2: Convert to fraction form
    42,021.64/57,991.08 = 23,160/x
  3. Step 3: Cross multiply
    42,021.64x = 57,991.08 × 23,160
  4. Step 4: Simplify right side
    42,021.64x = 1,343,073,412.80
  5. Step 5: Solve for x
    x = 1,343,073,412.80/42,021.64
  6. Step 6: Final answer
    x = 31,961.47

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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.