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Finding the Fourth Proportional to 54,928.80, 82,393.20 and 52,207.20

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Solution

The fourth proportional to 54,928.80, 82,393.20 and 52,207.20 is: 78,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,928.80 : 82,393.20 = 52,207.20 : x
  2. Step 2: Convert to fraction form
    54,928.80/82,393.20 = 52,207.20/x
  3. Step 3: Cross multiply
    54,928.80x = 82,393.20 × 52,207.20
  4. Step 4: Simplify right side
    54,928.80x = 4,301,518,271.04
  5. Step 5: Solve for x
    x = 4,301,518,271.04/54,928.80
  6. Step 6: Final answer
    x = 78,310.80

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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.