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Finding the Fourth Proportional to 90,432, 135,651.84 and 24,768

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Solution

The fourth proportional to 90,432, 135,651.84 and 24,768 is: 37,153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,432 : 135,651.84 = 24,768 : x
  2. Step 2: Convert to fraction form
    90,432/135,651.84 = 24,768/x
  3. Step 3: Cross multiply
    90,432x = 135,651.84 × 24,768
  4. Step 4: Simplify right side
    90,432x = 3,359,824,773.12
  5. Step 5: Solve for x
    x = 3,359,824,773.12/90,432
  6. Step 6: Final answer
    x = 37,153.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.