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Finding the Fourth Proportional to 74,975.82, 112,461.21 and 19,571.82

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Solution

The fourth proportional to 74,975.82, 112,461.21 and 19,571.82 is: 29,357.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,975.82 : 112,461.21 = 19,571.82 : x
  2. Step 2: Convert to fraction form
    74,975.82/112,461.21 = 19,571.82/x
  3. Step 3: Cross multiply
    74,975.82x = 112,461.21 × 19,571.82
  4. Step 4: Simplify right side
    74,975.82x = 2,201,070,559.10
  5. Step 5: Solve for x
    x = 2,201,070,559.10/74,975.82
  6. Step 6: Final answer
    x = 29,357.07

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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.