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Finding the Fourth Proportional to 74,199.92, 102,531.66 and 54,021.77

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Solution

The fourth proportional to 74,199.92, 102,531.66 and 54,021.77 is: 74,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,199.92 : 102,531.66 = 54,021.77 : x
  2. Step 2: Convert to fraction form
    74,199.92/102,531.66 = 54,021.77/x
  3. Step 3: Cross multiply
    74,199.92x = 102,531.66 × 54,021.77
  4. Step 4: Simplify right side
    74,199.92x = 5,538,941,241.58
  5. Step 5: Solve for x
    x = 5,538,941,241.58/74,199.92
  6. Step 6: Final answer
    x = 74,648.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.