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Finding the Fourth Proportional to 114,010.64, 171,015.96 and 30,904.64

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Solution

The fourth proportional to 114,010.64, 171,015.96 and 30,904.64 is: 46,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,010.64 : 171,015.96 = 30,904.64 : x
  2. Step 2: Convert to fraction form
    114,010.64/171,015.96 = 30,904.64/x
  3. Step 3: Cross multiply
    114,010.64x = 171,015.96 × 30,904.64
  4. Step 4: Simplify right side
    114,010.64x = 5,285,186,678.05
  5. Step 5: Solve for x
    x = 5,285,186,678.05/114,010.64
  6. Step 6: Final answer
    x = 46,356.96

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