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Finding the Fourth Proportional to 54,776.42, 82,196.74 and 23,184.51

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Solution

The fourth proportional to 54,776.42, 82,196.74 and 23,184.51 is: 34,790.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,776.42 : 82,196.74 = 23,184.51 : x
  2. Step 2: Convert to fraction form
    54,776.42/82,196.74 = 23,184.51/x
  3. Step 3: Cross multiply
    54,776.42x = 82,196.74 × 23,184.51
  4. Step 4: Simplify right side
    54,776.42x = 1,905,691,140.50
  5. Step 5: Solve for x
    x = 1,905,691,140.50/54,776.42
  6. Step 6: Final answer
    x = 34,790.36

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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.