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Finding the Fourth Proportional to 93,487.50, 140,231.25 and 27,823.50

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Solution

The fourth proportional to 93,487.50, 140,231.25 and 27,823.50 is: 41,735.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,487.50 : 140,231.25 = 27,823.50 : x
  2. Step 2: Convert to fraction form
    93,487.50/140,231.25 = 27,823.50/x
  3. Step 3: Cross multiply
    93,487.50x = 140,231.25 × 27,823.50
  4. Step 4: Simplify right side
    93,487.50x = 3,901,724,184.38
  5. Step 5: Solve for x
    x = 3,901,724,184.38/93,487.50
  6. Step 6: Final answer
    x = 41,735.25

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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.