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Finding the Fourth Proportional to 57,097.60, 85,646.40 and 17,653.84

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Solution

The fourth proportional to 57,097.60, 85,646.40 and 17,653.84 is: 26,480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,097.60 : 85,646.40 = 17,653.84 : x
  2. Step 2: Convert to fraction form
    57,097.60/85,646.40 = 17,653.84/x
  3. Step 3: Cross multiply
    57,097.60x = 85,646.40 × 17,653.84
  4. Step 4: Simplify right side
    57,097.60x = 1,511,987,413.94
  5. Step 5: Solve for x
    x = 1,511,987,413.94/57,097.60
  6. Step 6: Final answer
    x = 26,480.75

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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.