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Finding the Fourth Proportional to 54,704.40, 82,056.60 and 42,894.60

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Solution

The fourth proportional to 54,704.40, 82,056.60 and 42,894.60 is: 64,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,704.40 : 82,056.60 = 42,894.60 : x
  2. Step 2: Convert to fraction form
    54,704.40/82,056.60 = 42,894.60/x
  3. Step 3: Cross multiply
    54,704.40x = 82,056.60 × 42,894.60
  4. Step 4: Simplify right side
    54,704.40x = 3,519,785,034.36
  5. Step 5: Solve for x
    x = 3,519,785,034.36/54,704.40
  6. Step 6: Final answer
    x = 64,341.90

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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.