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Finding the Fourth Proportional to 52,674.64, 72,662.32 and 33,814.60

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Solution

The fourth proportional to 52,674.64, 72,662.32 and 33,814.60 is: 46,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,674.64 : 72,662.32 = 33,814.60 : x
  2. Step 2: Convert to fraction form
    52,674.64/72,662.32 = 33,814.60/x
  3. Step 3: Cross multiply
    52,674.64x = 72,662.32 × 33,814.60
  4. Step 4: Simplify right side
    52,674.64x = 2,457,047,285.87
  5. Step 5: Solve for x
    x = 2,457,047,285.87/52,674.64
  6. Step 6: Final answer
    x = 46,645.73

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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.