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Finding the Fourth Proportional to 62,464.64, 86,201.21 and 33,784.31

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Solution

The fourth proportional to 62,464.64, 86,201.21 and 33,784.31 is: 46,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,464.64 : 86,201.21 = 33,784.31 : x
  2. Step 2: Convert to fraction form
    62,464.64/86,201.21 = 33,784.31/x
  3. Step 3: Cross multiply
    62,464.64x = 86,201.21 × 33,784.31
  4. Step 4: Simplify right side
    62,464.64x = 2,912,248,026.06
  5. Step 5: Solve for x
    x = 2,912,248,026.06/62,464.64
  6. Step 6: Final answer
    x = 46,622.35

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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.