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Finding the Fourth Proportional to 53,575.28, 73,933.30 and 30,914

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Solution

The fourth proportional to 53,575.28, 73,933.30 and 30,914 is: 42,660.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,575.28 : 73,933.30 = 30,914 : x
  2. Step 2: Convert to fraction form
    53,575.28/73,933.30 = 30,914/x
  3. Step 3: Cross multiply
    53,575.28x = 73,933.30 × 30,914
  4. Step 4: Simplify right side
    53,575.28x = 2,285,574,036.20
  5. Step 5: Solve for x
    x = 2,285,574,036.20/53,575.28
  6. Step 6: Final answer
    x = 42,660.98

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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.