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Finding the Fourth Proportional to 93,561.12, 140,362.74 and 31,230

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Solution

The fourth proportional to 93,561.12, 140,362.74 and 31,230 is: 46,852.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,561.12 : 140,362.74 = 31,230 : x
  2. Step 2: Convert to fraction form
    93,561.12/140,362.74 = 31,230/x
  3. Step 3: Cross multiply
    93,561.12x = 140,362.74 × 31,230
  4. Step 4: Simplify right side
    93,561.12x = 4,383,528,370.20
  5. Step 5: Solve for x
    x = 4,383,528,370.20/93,561.12
  6. Step 6: Final answer
    x = 46,852.03

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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.