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Finding the Fourth Proportional to 45,968.68, 63,432.30 and 25,821

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Solution

The fourth proportional to 45,968.68, 63,432.30 and 25,821 is: 35,630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,968.68 : 63,432.30 = 25,821 : x
  2. Step 2: Convert to fraction form
    45,968.68/63,432.30 = 25,821/x
  3. Step 3: Cross multiply
    45,968.68x = 63,432.30 × 25,821
  4. Step 4: Simplify right side
    45,968.68x = 1,637,885,418.30
  5. Step 5: Solve for x
    x = 1,637,885,418.30/45,968.68
  6. Step 6: Final answer
    x = 35,630.46

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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.