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Finding the Fourth Proportional to 46,321.92, 63,866.88 and 31,392

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Solution

The fourth proportional to 46,321.92, 63,866.88 and 31,392 is: 43,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,321.92 : 63,866.88 = 31,392 : x
  2. Step 2: Convert to fraction form
    46,321.92/63,866.88 = 31,392/x
  3. Step 3: Cross multiply
    46,321.92x = 63,866.88 × 31,392
  4. Step 4: Simplify right side
    46,321.92x = 2,004,909,096.96
  5. Step 5: Solve for x
    x = 2,004,909,096.96/46,321.92
  6. Step 6: Final answer
    x = 43,282.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.