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Finding the Fourth Proportional to 27,835.48, 38,413.50 and 15,259.48

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Solution

The fourth proportional to 27,835.48, 38,413.50 and 15,259.48 is: 21,058.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,835.48 : 38,413.50 = 15,259.48 : x
  2. Step 2: Convert to fraction form
    27,835.48/38,413.50 = 15,259.48/x
  3. Step 3: Cross multiply
    27,835.48x = 38,413.50 × 15,259.48
  4. Step 4: Simplify right side
    27,835.48x = 586,170,034.98
  5. Step 5: Solve for x
    x = 586,170,034.98/27,835.48
  6. Step 6: Final answer
    x = 21,058.38

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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.