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Finding the Fourth Proportional to 93,462.65, 140,190.33 and 31,133.15

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Solution

The fourth proportional to 93,462.65, 140,190.33 and 31,133.15 is: 46,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,462.65 : 140,190.33 = 31,133.15 : x
  2. Step 2: Convert to fraction form
    93,462.65/140,190.33 = 31,133.15/x
  3. Step 3: Cross multiply
    93,462.65x = 140,190.33 × 31,133.15
  4. Step 4: Simplify right side
    93,462.65x = 4,364,566,922.92
  5. Step 5: Solve for x
    x = 4,364,566,922.92/93,462.65
  6. Step 6: Final answer
    x = 46,698.51

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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.