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Finding the Fourth Proportional to 49,014, 67,639.86 and 26,658

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Solution

The fourth proportional to 49,014, 67,639.86 and 26,658 is: 36,788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,014 : 67,639.86 = 26,658 : x
  2. Step 2: Convert to fraction form
    49,014/67,639.86 = 26,658/x
  3. Step 3: Cross multiply
    49,014x = 67,639.86 × 26,658
  4. Step 4: Simplify right side
    49,014x = 1,803,143,387.88
  5. Step 5: Solve for x
    x = 1,803,143,387.88/49,014
  6. Step 6: Final answer
    x = 36,788.33

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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.