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Finding the Fourth Proportional to 30,710.34, 46,009.62 and 21,330.54

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Solution

The fourth proportional to 30,710.34, 46,009.62 and 21,330.54 is: 31,956.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710.34 : 46,009.62 = 21,330.54 : x
  2. Step 2: Convert to fraction form
    30,710.34/46,009.62 = 21,330.54/x
  3. Step 3: Cross multiply
    30,710.34x = 46,009.62 × 21,330.54
  4. Step 4: Simplify right side
    30,710.34x = 981,410,039.79
  5. Step 5: Solve for x
    x = 981,410,039.79/30,710.34
  6. Step 6: Final answer
    x = 31,956.99

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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.