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Finding the Fourth Proportional to 54,770.34, 82,106.28 and 19,685.46

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Solution

The fourth proportional to 54,770.34, 82,106.28 and 19,685.46 is: 29,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,770.34 : 82,106.28 = 19,685.46 : x
  2. Step 2: Convert to fraction form
    54,770.34/82,106.28 = 19,685.46/x
  3. Step 3: Cross multiply
    54,770.34x = 82,106.28 × 19,685.46
  4. Step 4: Simplify right side
    54,770.34x = 1,616,299,890.69
  5. Step 5: Solve for x
    x = 1,616,299,890.69/54,770.34
  6. Step 6: Final answer
    x = 29,510.50

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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.