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Finding the Fourth Proportional to 93,614.88, 140,422.32 and 31,285.38

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Solution

The fourth proportional to 93,614.88, 140,422.32 and 31,285.38 is: 46,928.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,614.88 : 140,422.32 = 31,285.38 : x
  2. Step 2: Convert to fraction form
    93,614.88/140,422.32 = 31,285.38/x
  3. Step 3: Cross multiply
    93,614.88x = 140,422.32 × 31,285.38
  4. Step 4: Simplify right side
    93,614.88x = 4,393,165,641.68
  5. Step 5: Solve for x
    x = 4,393,165,641.68/93,614.88
  6. Step 6: Final answer
    x = 46,928.07

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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.