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Finding the Fourth Proportional to 74,606.82, 111,899.16 and 27,210.78

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Solution

The fourth proportional to 74,606.82, 111,899.16 and 27,210.78 is: 40,812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,606.82 : 111,899.16 = 27,210.78 : x
  2. Step 2: Convert to fraction form
    74,606.82/111,899.16 = 27,210.78/x
  3. Step 3: Cross multiply
    74,606.82x = 111,899.16 × 27,210.78
  4. Step 4: Simplify right side
    74,606.82x = 3,044,863,424.94
  5. Step 5: Solve for x
    x = 3,044,863,424.94/74,606.82
  6. Step 6: Final answer
    x = 40,812.13

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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.