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Finding the Fourth Proportional to 27,658.60, 38,059.62 and 25,009

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Solution

The fourth proportional to 27,658.60, 38,059.62 and 25,009 is: 34,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,658.60 : 38,059.62 = 25,009 : x
  2. Step 2: Convert to fraction form
    27,658.60/38,059.62 = 25,009/x
  3. Step 3: Cross multiply
    27,658.60x = 38,059.62 × 25,009
  4. Step 4: Simplify right side
    27,658.60x = 951,833,036.58
  5. Step 5: Solve for x
    x = 951,833,036.58/27,658.60
  6. Step 6: Final answer
    x = 34,413.64

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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.