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Finding the Fourth Proportional to 30,723.84, 42,390.72 and 25,963.20

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Solution

The fourth proportional to 30,723.84, 42,390.72 and 25,963.20 is: 35,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,723.84 : 42,390.72 = 25,963.20 : x
  2. Step 2: Convert to fraction form
    30,723.84/42,390.72 = 25,963.20/x
  3. Step 3: Cross multiply
    30,723.84x = 42,390.72 × 25,963.20
  4. Step 4: Simplify right side
    30,723.84x = 1,100,598,741.50
  5. Step 5: Solve for x
    x = 1,100,598,741.50/30,723.84
  6. Step 6: Final answer
    x = 35,822.30

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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.