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Finding the Fourth Proportional to 117,004.46, 175,441.86 and 54,640.94

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Solution

The fourth proportional to 117,004.46, 175,441.86 and 54,640.94 is: 81,931.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,004.46 : 175,441.86 = 54,640.94 : x
  2. Step 2: Convert to fraction form
    117,004.46/175,441.86 = 54,640.94/x
  3. Step 3: Cross multiply
    117,004.46x = 175,441.86 × 54,640.94
  4. Step 4: Simplify right side
    117,004.46x = 9,586,308,145.75
  5. Step 5: Solve for x
    x = 9,586,308,145.75/117,004.46
  6. Step 6: Final answer
    x = 81,931.13

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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.