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Finding the Fourth Proportional to 48,830, 67,385.42 and 26,474

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Solution

The fourth proportional to 48,830, 67,385.42 and 26,474 is: 36,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,830 : 67,385.42 = 26,474 : x
  2. Step 2: Convert to fraction form
    48,830/67,385.42 = 26,474/x
  3. Step 3: Cross multiply
    48,830x = 67,385.42 × 26,474
  4. Step 4: Simplify right side
    48,830x = 1,783,961,609.08
  5. Step 5: Solve for x
    x = 1,783,961,609.08/48,830
  6. Step 6: Final answer
    x = 36,534.13

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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.