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Finding the Fourth Proportional to 35,092.64, 48,411.60 and 20,180

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Solution

The fourth proportional to 35,092.64, 48,411.60 and 20,180 is: 27,839.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,092.64 : 48,411.60 = 20,180 : x
  2. Step 2: Convert to fraction form
    35,092.64/48,411.60 = 20,180/x
  3. Step 3: Cross multiply
    35,092.64x = 48,411.60 × 20,180
  4. Step 4: Simplify right side
    35,092.64x = 976,946,088
  5. Step 5: Solve for x
    x = 976,946,088/35,092.64
  6. Step 6: Final answer
    x = 27,839.06

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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.