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Finding the Fourth Proportional to 45,984.59, 63,459.16 and 27,835.73

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Solution

The fourth proportional to 45,984.59, 63,459.16 and 27,835.73 is: 38,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,984.59 : 63,459.16 = 27,835.73 : x
  2. Step 2: Convert to fraction form
    45,984.59/63,459.16 = 27,835.73/x
  3. Step 3: Cross multiply
    45,984.59x = 63,459.16 × 27,835.73
  4. Step 4: Simplify right side
    45,984.59x = 1,766,432,290.98
  5. Step 5: Solve for x
    x = 1,766,432,290.98/45,984.59
  6. Step 6: Final answer
    x = 38,413.57

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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.