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Finding the Fourth Proportional to 72,883.56, 100,623 and 47,776.80

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Solution

The fourth proportional to 72,883.56, 100,623 and 47,776.80 is: 65,960.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,883.56 : 100,623 = 47,776.80 : x
  2. Step 2: Convert to fraction form
    72,883.56/100,623 = 47,776.80/x
  3. Step 3: Cross multiply
    72,883.56x = 100,623 × 47,776.80
  4. Step 4: Simplify right side
    72,883.56x = 4,807,444,946.40
  5. Step 5: Solve for x
    x = 4,807,444,946.40/72,883.56
  6. Step 6: Final answer
    x = 65,960.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.