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Finding the Fourth Proportional to 38,005.40, 52,413.38 and 31,653.08

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Solution

The fourth proportional to 38,005.40, 52,413.38 and 31,653.08 is: 43,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,005.40 : 52,413.38 = 31,653.08 : x
  2. Step 2: Convert to fraction form
    38,005.40/52,413.38 = 31,653.08/x
  3. Step 3: Cross multiply
    38,005.40x = 52,413.38 × 31,653.08
  4. Step 4: Simplify right side
    38,005.40x = 1,659,044,910.21
  5. Step 5: Solve for x
    x = 1,659,044,910.21/38,005.40
  6. Step 6: Final answer
    x = 43,652.87

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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.