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Finding the Fourth Proportional to 48,764.16, 67,294.24 and 26,408

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Solution

The fourth proportional to 48,764.16, 67,294.24 and 26,408 is: 36,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,764.16 : 67,294.24 = 26,408 : x
  2. Step 2: Convert to fraction form
    48,764.16/67,294.24 = 26,408/x
  3. Step 3: Cross multiply
    48,764.16x = 67,294.24 × 26,408
  4. Step 4: Simplify right side
    48,764.16x = 1,777,106,289.92
  5. Step 5: Solve for x
    x = 1,777,106,289.92/48,764.16
  6. Step 6: Final answer
    x = 36,442.88

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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.