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Finding the Fourth Proportional to 91,773.96, 137,735.58 and 47,413.68

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Solution

The fourth proportional to 91,773.96, 137,735.58 and 47,413.68 is: 71,159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,773.96 : 137,735.58 = 47,413.68 : x
  2. Step 2: Convert to fraction form
    91,773.96/137,735.58 = 47,413.68/x
  3. Step 3: Cross multiply
    91,773.96x = 137,735.58 × 47,413.68
  4. Step 4: Simplify right side
    91,773.96x = 6,530,550,714.73
  5. Step 5: Solve for x
    x = 6,530,550,714.73/91,773.96
  6. Step 6: Final answer
    x = 71,159.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.