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Finding the Fourth Proportional to 38,413.72, 53,011.52 and 21,417.48

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Solution

The fourth proportional to 38,413.72, 53,011.52 and 21,417.48 is: 29,556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413.72 : 53,011.52 = 21,417.48 : x
  2. Step 2: Convert to fraction form
    38,413.72/53,011.52 = 21,417.48/x
  3. Step 3: Cross multiply
    38,413.72x = 53,011.52 × 21,417.48
  4. Step 4: Simplify right side
    38,413.72x = 1,135,373,169.37
  5. Step 5: Solve for x
    x = 1,135,373,169.37/38,413.72
  6. Step 6: Final answer
    x = 29,556.45

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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.