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Finding the Fourth Proportional to 54,667.60, 82,001.40 and 49,829.20

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Solution

The fourth proportional to 54,667.60, 82,001.40 and 49,829.20 is: 74,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,667.60 : 82,001.40 = 49,829.20 : x
  2. Step 2: Convert to fraction form
    54,667.60/82,001.40 = 49,829.20/x
  3. Step 3: Cross multiply
    54,667.60x = 82,001.40 × 49,829.20
  4. Step 4: Simplify right side
    54,667.60x = 4,086,064,160.88
  5. Step 5: Solve for x
    x = 4,086,064,160.88/54,667.60
  6. Step 6: Final answer
    x = 74,743.80

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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.