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Finding the Fourth Proportional to 74,675, 103,051.50 and 41,141.72

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Solution

The fourth proportional to 74,675, 103,051.50 and 41,141.72 is: 56,775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,675 : 103,051.50 = 41,141.72 : x
  2. Step 2: Convert to fraction form
    74,675/103,051.50 = 41,141.72/x
  3. Step 3: Cross multiply
    74,675x = 103,051.50 × 41,141.72
  4. Step 4: Simplify right side
    74,675x = 4,239,715,958.58
  5. Step 5: Solve for x
    x = 4,239,715,958.58/74,675
  6. Step 6: Final answer
    x = 56,775.57

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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.