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Finding the Fourth Proportional to 46,892.94, 70,388.01 and 31,418.70

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Solution

The fourth proportional to 46,892.94, 70,388.01 and 31,418.70 is: 47,160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,892.94 : 70,388.01 = 31,418.70 : x
  2. Step 2: Convert to fraction form
    46,892.94/70,388.01 = 31,418.70/x
  3. Step 3: Cross multiply
    46,892.94x = 70,388.01 × 31,418.70
  4. Step 4: Simplify right side
    46,892.94x = 2,211,499,769.79
  5. Step 5: Solve for x
    x = 2,211,499,769.79/46,892.94
  6. Step 6: Final answer
    x = 47,160.61

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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.