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Finding the Fourth Proportional to 54,548.17, 75,276 and 30,674.34

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Solution

The fourth proportional to 54,548.17, 75,276 and 30,674.34 is: 42,330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,548.17 : 75,276 = 30,674.34 : x
  2. Step 2: Convert to fraction form
    54,548.17/75,276 = 30,674.34/x
  3. Step 3: Cross multiply
    54,548.17x = 75,276 × 30,674.34
  4. Step 4: Simplify right side
    54,548.17x = 2,309,041,241.46
  5. Step 5: Solve for x
    x = 2,309,041,241.46/54,548.17
  6. Step 6: Final answer
    x = 42,330.32

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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.