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Finding the Fourth Proportional to 54,784.80, 82,177.20 and 35,101.80

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Solution

The fourth proportional to 54,784.80, 82,177.20 and 35,101.80 is: 52,652.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,784.80 : 82,177.20 = 35,101.80 : x
  2. Step 2: Convert to fraction form
    54,784.80/82,177.20 = 35,101.80/x
  3. Step 3: Cross multiply
    54,784.80x = 82,177.20 × 35,101.80
  4. Step 4: Simplify right side
    54,784.80x = 2,884,567,638.96
  5. Step 5: Solve for x
    x = 2,884,567,638.96/54,784.80
  6. Step 6: Final answer
    x = 52,652.70

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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.