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Finding the Fourth Proportional to 54,698.64, 82,047.84 and 42,236.88

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Solution

The fourth proportional to 54,698.64, 82,047.84 and 42,236.88 is: 63,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,698.64 : 82,047.84 = 42,236.88 : x
  2. Step 2: Convert to fraction form
    54,698.64/82,047.84 = 42,236.88/x
  3. Step 3: Cross multiply
    54,698.64x = 82,047.84 × 42,236.88
  4. Step 4: Simplify right side
    54,698.64x = 3,465,444,772.34
  5. Step 5: Solve for x
    x = 3,465,444,772.34/54,698.64
  6. Step 6: Final answer
    x = 63,355.23

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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.