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Finding the Fourth Proportional to 96,599.80, 144,971.70 and 49,828.60

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Solution

The fourth proportional to 96,599.80, 144,971.70 and 49,828.60 is: 74,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,599.80 : 144,971.70 = 49,828.60 : x
  2. Step 2: Convert to fraction form
    96,599.80/144,971.70 = 49,828.60/x
  3. Step 3: Cross multiply
    96,599.80x = 144,971.70 × 49,828.60
  4. Step 4: Simplify right side
    96,599.80x = 7,223,736,850.62
  5. Step 5: Solve for x
    x = 7,223,736,850.62/96,599.80
  6. Step 6: Final answer
    x = 74,780.04

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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.