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Finding the Fourth Proportional to 49,501, 68,311.38 and 27,145

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Solution

The fourth proportional to 49,501, 68,311.38 and 27,145 is: 37,460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,501 : 68,311.38 = 27,145 : x
  2. Step 2: Convert to fraction form
    49,501/68,311.38 = 27,145/x
  3. Step 3: Cross multiply
    49,501x = 68,311.38 × 27,145
  4. Step 4: Simplify right side
    49,501x = 1,854,312,410.10
  5. Step 5: Solve for x
    x = 1,854,312,410.10/49,501
  6. Step 6: Final answer
    x = 37,460.10

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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.