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Finding the Fourth Proportional to 70,413.74, 97,173.22 and 38,584.66

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Solution

The fourth proportional to 70,413.74, 97,173.22 and 38,584.66 is: 53,248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,413.74 : 97,173.22 = 38,584.66 : x
  2. Step 2: Convert to fraction form
    70,413.74/97,173.22 = 38,584.66/x
  3. Step 3: Cross multiply
    70,413.74x = 97,173.22 × 38,584.66
  4. Step 4: Simplify right side
    70,413.74x = 3,749,395,654.81
  5. Step 5: Solve for x
    x = 3,749,395,654.81/70,413.74
  6. Step 6: Final answer
    x = 53,248.07

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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.