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Finding the Fourth Proportional to 61,133.05, 91,699.92 and 27,829.82

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Solution

The fourth proportional to 61,133.05, 91,699.92 and 27,829.82 is: 41,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,133.05 : 91,699.92 = 27,829.82 : x
  2. Step 2: Convert to fraction form
    61,133.05/91,699.92 = 27,829.82/x
  3. Step 3: Cross multiply
    61,133.05x = 91,699.92 × 27,829.82
  4. Step 4: Simplify right side
    61,133.05x = 2,551,992,267.61
  5. Step 5: Solve for x
    x = 2,551,992,267.61/61,133.05
  6. Step 6: Final answer
    x = 41,744.89

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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.