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Finding the Fourth Proportional to 117,491.94, 176,237.80 and 41,646.04

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Solution

The fourth proportional to 117,491.94, 176,237.80 and 41,646.04 is: 62,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,491.94 : 176,237.80 = 41,646.04 : x
  2. Step 2: Convert to fraction form
    117,491.94/176,237.80 = 41,646.04/x
  3. Step 3: Cross multiply
    117,491.94x = 176,237.80 × 41,646.04
  4. Step 4: Simplify right side
    117,491.94x = 7,339,606,468.31
  5. Step 5: Solve for x
    x = 7,339,606,468.31/117,491.94
  6. Step 6: Final answer
    x = 62,469.02

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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.