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Finding the Fourth Proportional to 74,163.96, 102,359.70 and 47,314.80

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Solution

The fourth proportional to 74,163.96, 102,359.70 and 47,314.80 is: 65,303.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,163.96 : 102,359.70 = 47,314.80 : x
  2. Step 2: Convert to fraction form
    74,163.96/102,359.70 = 47,314.80/x
  3. Step 3: Cross multiply
    74,163.96x = 102,359.70 × 47,314.80
  4. Step 4: Simplify right side
    74,163.96x = 4,843,128,733.56
  5. Step 5: Solve for x
    x = 4,843,128,733.56/74,163.96
  6. Step 6: Final answer
    x = 65,303.00

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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.