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Finding the Fourth Proportional to 48,770, 67,302.60 and 26,414

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Solution

The fourth proportional to 48,770, 67,302.60 and 26,414 is: 36,451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,770 : 67,302.60 = 26,414 : x
  2. Step 2: Convert to fraction form
    48,770/67,302.60 = 26,414/x
  3. Step 3: Cross multiply
    48,770x = 67,302.60 × 26,414
  4. Step 4: Simplify right side
    48,770x = 1,777,730,876.40
  5. Step 5: Solve for x
    x = 1,777,730,876.40/48,770
  6. Step 6: Final answer
    x = 36,451.32

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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.