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Finding the Fourth Proportional to 48,768, 67,299.84 and 26,412

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Solution

The fourth proportional to 48,768, 67,299.84 and 26,412 is: 36,448.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,768 : 67,299.84 = 26,412 : x
  2. Step 2: Convert to fraction form
    48,768/67,299.84 = 26,412/x
  3. Step 3: Cross multiply
    48,768x = 67,299.84 × 26,412
  4. Step 4: Simplify right side
    48,768x = 1,777,523,374.08
  5. Step 5: Solve for x
    x = 1,777,523,374.08/48,768
  6. Step 6: Final answer
    x = 36,448.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.