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Finding the Fourth Proportional to 35,877.46, 49,505.29 and 20,767.16

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Solution

The fourth proportional to 35,877.46, 49,505.29 and 20,767.16 is: 28,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,877.46 : 49,505.29 = 20,767.16 : x
  2. Step 2: Convert to fraction form
    35,877.46/49,505.29 = 20,767.16/x
  3. Step 3: Cross multiply
    35,877.46x = 49,505.29 × 20,767.16
  4. Step 4: Simplify right side
    35,877.46x = 1,028,084,278.28
  5. Step 5: Solve for x
    x = 1,028,084,278.28/35,877.46
  6. Step 6: Final answer
    x = 28,655.44

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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.