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Finding the Fourth Proportional to 114,577.44, 171,874.38 and 47,950.50

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Solution

The fourth proportional to 114,577.44, 171,874.38 and 47,950.50 is: 71,929.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,577.44 : 171,874.38 = 47,950.50 : x
  2. Step 2: Convert to fraction form
    114,577.44/171,874.38 = 47,950.50/x
  3. Step 3: Cross multiply
    114,577.44x = 171,874.38 × 47,950.50
  4. Step 4: Simplify right side
    114,577.44x = 8,241,462,458.19
  5. Step 5: Solve for x
    x = 8,241,462,458.19/114,577.44
  6. Step 6: Final answer
    x = 71,929.19

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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.