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Finding the Fourth Proportional to 54,852.46, 82,308.46 and 23,280.28

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Solution

The fourth proportional to 54,852.46, 82,308.46 and 23,280.28 is: 34,933.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,852.46 : 82,308.46 = 23,280.28 : x
  2. Step 2: Convert to fraction form
    54,852.46/82,308.46 = 23,280.28/x
  3. Step 3: Cross multiply
    54,852.46x = 82,308.46 × 23,280.28
  4. Step 4: Simplify right side
    54,852.46x = 1,916,163,995.17
  5. Step 5: Solve for x
    x = 1,916,163,995.17/54,852.46
  6. Step 6: Final answer
    x = 34,933.05

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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.