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Finding the Fourth Proportional to 116,804.52, 175,232.70 and 54,441

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Solution

The fourth proportional to 116,804.52, 175,232.70 and 54,441 is: 81,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,804.52 : 175,232.70 = 54,441 : x
  2. Step 2: Convert to fraction form
    116,804.52/175,232.70 = 54,441/x
  3. Step 3: Cross multiply
    116,804.52x = 175,232.70 × 54,441
  4. Step 4: Simplify right side
    116,804.52x = 9,539,843,420.70
  5. Step 5: Solve for x
    x = 9,539,843,420.70/116,804.52
  6. Step 6: Final answer
    x = 81,673.58

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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.