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Finding the Fourth Proportional to 98,811.50, 136,359.87 and 54,099.50

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Solution

The fourth proportional to 98,811.50, 136,359.87 and 54,099.50 is: 74,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,811.50 : 136,359.87 = 54,099.50 : x
  2. Step 2: Convert to fraction form
    98,811.50/136,359.87 = 54,099.50/x
  3. Step 3: Cross multiply
    98,811.50x = 136,359.87 × 54,099.50
  4. Step 4: Simplify right side
    98,811.50x = 7,377,000,787.07
  5. Step 5: Solve for x
    x = 7,377,000,787.07/98,811.50
  6. Step 6: Final answer
    x = 74,657.31

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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.