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Finding the Fourth Proportional to 49,502, 68,312.76 and 27,146

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Solution

The fourth proportional to 49,502, 68,312.76 and 27,146 is: 37,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,502 : 68,312.76 = 27,146 : x
  2. Step 2: Convert to fraction form
    49,502/68,312.76 = 27,146/x
  3. Step 3: Cross multiply
    49,502x = 68,312.76 × 27,146
  4. Step 4: Simplify right side
    49,502x = 1,854,418,182.96
  5. Step 5: Solve for x
    x = 1,854,418,182.96/49,502
  6. Step 6: Final answer
    x = 37,461.48

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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.