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Finding the Fourth Proportional to 30,712.84, 46,013.37 and 21,333.04

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Solution

The fourth proportional to 30,712.84, 46,013.37 and 21,333.04 is: 31,960.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712.84 : 46,013.37 = 21,333.04 : x
  2. Step 2: Convert to fraction form
    30,712.84/46,013.37 = 21,333.04/x
  3. Step 3: Cross multiply
    30,712.84x = 46,013.37 × 21,333.04
  4. Step 4: Simplify right side
    30,712.84x = 981,605,062.74
  5. Step 5: Solve for x
    x = 981,605,062.74/30,712.84
  6. Step 6: Final answer
    x = 31,960.74

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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.