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Finding the Fourth Proportional to 84,196.40, 116,190.72 and 46,470.38

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Solution

The fourth proportional to 84,196.40, 116,190.72 and 46,470.38 is: 64,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,196.40 : 116,190.72 = 46,470.38 : x
  2. Step 2: Convert to fraction form
    84,196.40/116,190.72 = 46,470.38/x
  3. Step 3: Cross multiply
    84,196.40x = 116,190.72 × 46,470.38
  4. Step 4: Simplify right side
    84,196.40x = 5,399,426,329.92
  5. Step 5: Solve for x
    x = 5,399,426,329.92/84,196.40
  6. Step 6: Final answer
    x = 64,128.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.