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Finding the Fourth Proportional to 54,507.72, 75,212.28 and 30,629.76

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Solution

The fourth proportional to 54,507.72, 75,212.28 and 30,629.76 is: 42,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,507.72 : 75,212.28 = 30,629.76 : x
  2. Step 2: Convert to fraction form
    54,507.72/75,212.28 = 30,629.76/x
  3. Step 3: Cross multiply
    54,507.72x = 75,212.28 × 30,629.76
  4. Step 4: Simplify right side
    54,507.72x = 2,303,734,085.45
  5. Step 5: Solve for x
    x = 2,303,734,085.45/54,507.72
  6. Step 6: Final answer
    x = 42,264.36

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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.