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Finding the Fourth Proportional to 54,765.53, 82,148.47 and 15,322.99

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Solution

The fourth proportional to 54,765.53, 82,148.47 and 15,322.99 is: 22,984.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,765.53 : 82,148.47 = 15,322.99 : x
  2. Step 2: Convert to fraction form
    54,765.53/82,148.47 = 15,322.99/x
  3. Step 3: Cross multiply
    54,765.53x = 82,148.47 × 15,322.99
  4. Step 4: Simplify right side
    54,765.53x = 1,258,760,184.33
  5. Step 5: Solve for x
    x = 1,258,760,184.33/54,765.53
  6. Step 6: Final answer
    x = 22,984.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.