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Finding the Fourth Proportional to 61,097.80, 91,648.38 and 19,544.84

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Solution

The fourth proportional to 61,097.80, 91,648.38 and 19,544.84 is: 29,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,097.80 : 91,648.38 = 19,544.84 : x
  2. Step 2: Convert to fraction form
    61,097.80/91,648.38 = 19,544.84/x
  3. Step 3: Cross multiply
    61,097.80x = 91,648.38 × 19,544.84
  4. Step 4: Simplify right side
    61,097.80x = 1,791,252,923.36
  5. Step 5: Solve for x
    x = 1,791,252,923.36/61,097.80
  6. Step 6: Final answer
    x = 29,317.80

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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.