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Finding the Fourth Proportional to 48,713, 67,223.94 and 26,357

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Solution

The fourth proportional to 48,713, 67,223.94 and 26,357 is: 36,372.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,713 : 67,223.94 = 26,357 : x
  2. Step 2: Convert to fraction form
    48,713/67,223.94 = 26,357/x
  3. Step 3: Cross multiply
    48,713x = 67,223.94 × 26,357
  4. Step 4: Simplify right side
    48,713x = 1,771,821,386.58
  5. Step 5: Solve for x
    x = 1,771,821,386.58/48,713
  6. Step 6: Final answer
    x = 36,372.66

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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.