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Finding the Fourth Proportional to 35,927.12, 49,577.64 and 20,013.20

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Solution

The fourth proportional to 35,927.12, 49,577.64 and 20,013.20 is: 27,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,927.12 : 49,577.64 = 20,013.20 : x
  2. Step 2: Convert to fraction form
    35,927.12/49,577.64 = 20,013.20/x
  3. Step 3: Cross multiply
    35,927.12x = 49,577.64 × 20,013.20
  4. Step 4: Simplify right side
    35,927.12x = 992,207,224.85
  5. Step 5: Solve for x
    x = 992,207,224.85/35,927.12
  6. Step 6: Final answer
    x = 27,617.22

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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.