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Finding the Fourth Proportional to 54,902.70, 82,354.05 and 49,200.30

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Solution

The fourth proportional to 54,902.70, 82,354.05 and 49,200.30 is: 73,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,902.70 : 82,354.05 = 49,200.30 : x
  2. Step 2: Convert to fraction form
    54,902.70/82,354.05 = 49,200.30/x
  3. Step 3: Cross multiply
    54,902.70x = 82,354.05 × 49,200.30
  4. Step 4: Simplify right side
    54,902.70x = 4,051,843,966.22
  5. Step 5: Solve for x
    x = 4,051,843,966.22/54,902.70
  6. Step 6: Final answer
    x = 73,800.45

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1.5x scale

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.