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Finding the Fourth Proportional to 54,804.85, 82,207.28 and 28,232.80

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Solution

The fourth proportional to 54,804.85, 82,207.28 and 28,232.80 is: 42,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,804.85 : 82,207.28 = 28,232.80 : x
  2. Step 2: Convert to fraction form
    54,804.85/82,207.28 = 28,232.80/x
  3. Step 3: Cross multiply
    54,804.85x = 82,207.28 × 28,232.80
  4. Step 4: Simplify right side
    54,804.85x = 2,320,941,553.62
  5. Step 5: Solve for x
    x = 2,320,941,553.62/54,804.85
  6. Step 6: Final answer
    x = 42,349.20

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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.