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Finding the Fourth Proportional to 30,963.20, 42,727.20 and 19,784

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Solution

The fourth proportional to 30,963.20, 42,727.20 and 19,784 is: 27,300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,963.20 : 42,727.20 = 19,784 : x
  2. Step 2: Convert to fraction form
    30,963.20/42,727.20 = 19,784/x
  3. Step 3: Cross multiply
    30,963.20x = 42,727.20 × 19,784
  4. Step 4: Simplify right side
    30,963.20x = 845,314,924.80
  5. Step 5: Solve for x
    x = 845,314,924.80/30,963.20
  6. Step 6: Final answer
    x = 27,300.63

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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.