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Finding the Fourth Proportional to 54,346.32, 75,001 and 30,471.84

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Solution

The fourth proportional to 54,346.32, 75,001 and 30,471.84 is: 42,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,346.32 : 75,001 = 30,471.84 : x
  2. Step 2: Convert to fraction form
    54,346.32/75,001 = 30,471.84/x
  3. Step 3: Cross multiply
    54,346.32x = 75,001 × 30,471.84
  4. Step 4: Simplify right side
    54,346.32x = 2,285,418,471.84
  5. Step 5: Solve for x
    x = 2,285,418,471.84/54,346.32
  6. Step 6: Final answer
    x = 42,052.87

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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.