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Finding the Fourth Proportional to 97,880.59, 146,804.28 and 27,743.50

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Solution

The fourth proportional to 97,880.59, 146,804.28 and 27,743.50 is: 41,610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,880.59 : 146,804.28 = 27,743.50 : x
  2. Step 2: Convert to fraction form
    97,880.59/146,804.28 = 27,743.50/x
  3. Step 3: Cross multiply
    97,880.59x = 146,804.28 × 27,743.50
  4. Step 4: Simplify right side
    97,880.59x = 4,072,864,542.18
  5. Step 5: Solve for x
    x = 4,072,864,542.18/97,880.59
  6. Step 6: Final answer
    x = 41,610.54

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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.