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Finding the Fourth Proportional to 49,462.40, 68,258 and 26,802

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Solution

The fourth proportional to 49,462.40, 68,258 and 26,802 is: 36,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,462.40 : 68,258 = 26,802 : x
  2. Step 2: Convert to fraction form
    49,462.40/68,258 = 26,802/x
  3. Step 3: Cross multiply
    49,462.40x = 68,258 × 26,802
  4. Step 4: Simplify right side
    49,462.40x = 1,829,450,916
  5. Step 5: Solve for x
    x = 1,829,450,916/49,462.40
  6. Step 6: Final answer
    x = 36,986.70

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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.