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Finding the Fourth Proportional to 45,102.36, 67,652.14 and 21,426.95

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Solution

The fourth proportional to 45,102.36, 67,652.14 and 21,426.95 is: 32,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,102.36 : 67,652.14 = 21,426.95 : x
  2. Step 2: Convert to fraction form
    45,102.36/67,652.14 = 21,426.95/x
  3. Step 3: Cross multiply
    45,102.36x = 67,652.14 × 21,426.95
  4. Step 4: Simplify right side
    45,102.36x = 1,449,578,682.91
  5. Step 5: Solve for x
    x = 1,449,578,682.91/45,102.36
  6. Step 6: Final answer
    x = 32,139.75

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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.