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Finding the Fourth Proportional to 48,764, 67,294.56 and 26,408

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Solution

The fourth proportional to 48,764, 67,294.56 and 26,408 is: 36,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,764 : 67,294.56 = 26,408 : x
  2. Step 2: Convert to fraction form
    48,764/67,294.56 = 26,408/x
  3. Step 3: Cross multiply
    48,764x = 67,294.56 × 26,408
  4. Step 4: Simplify right side
    48,764x = 1,777,114,740.48
  5. Step 5: Solve for x
    x = 1,777,114,740.48/48,764
  6. Step 6: Final answer
    x = 36,443.17

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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.