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Finding the Fourth Proportional to 117,351.63, 175,963.86 and 41,412.11

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Solution

The fourth proportional to 117,351.63, 175,963.86 and 41,412.11 is: 62,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,351.63 : 175,963.86 = 41,412.11 : x
  2. Step 2: Convert to fraction form
    117,351.63/175,963.86 = 41,412.11/x
  3. Step 3: Cross multiply
    117,351.63x = 175,963.86 × 41,412.11
  4. Step 4: Simplify right side
    117,351.63x = 7,287,033,846.53
  5. Step 5: Solve for x
    x = 7,287,033,846.53/117,351.63
  6. Step 6: Final answer
    x = 62,095.72

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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.