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Finding the Fourth Proportional to 52,921.96, 73,020.78 and 30,553

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Solution

The fourth proportional to 52,921.96, 73,020.78 and 30,553 is: 42,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,921.96 : 73,020.78 = 30,553 : x
  2. Step 2: Convert to fraction form
    52,921.96/73,020.78 = 30,553/x
  3. Step 3: Cross multiply
    52,921.96x = 73,020.78 × 30,553
  4. Step 4: Simplify right side
    52,921.96x = 2,231,003,891.34
  5. Step 5: Solve for x
    x = 2,231,003,891.34/52,921.96
  6. Step 6: Final answer
    x = 42,156.49

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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.