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Finding the Fourth Proportional to 49,214, 67,915.38 and 26,858

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Solution

The fourth proportional to 49,214, 67,915.38 and 26,858 is: 37,064.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,214 : 67,915.38 = 26,858 : x
  2. Step 2: Convert to fraction form
    49,214/67,915.38 = 26,858/x
  3. Step 3: Cross multiply
    49,214x = 67,915.38 × 26,858
  4. Step 4: Simplify right side
    49,214x = 1,824,071,276.04
  5. Step 5: Solve for x
    x = 1,824,071,276.04/49,214
  6. Step 6: Final answer
    x = 37,064.07

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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.