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Finding the Fourth Proportional to 49,370.68, 74,064.66 and 18,206.20

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Solution

The fourth proportional to 49,370.68, 74,064.66 and 18,206.20 is: 27,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,370.68 : 74,064.66 = 18,206.20 : x
  2. Step 2: Convert to fraction form
    49,370.68/74,064.66 = 18,206.20/x
  3. Step 3: Cross multiply
    49,370.68x = 74,064.66 × 18,206.20
  4. Step 4: Simplify right side
    49,370.68x = 1,348,436,012.89
  5. Step 5: Solve for x
    x = 1,348,436,012.89/49,370.68
  6. Step 6: Final answer
    x = 27,312.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.