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Finding the Fourth Proportional to 76,847.08, 106,058.82 and 45,043.24

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Solution

The fourth proportional to 76,847.08, 106,058.82 and 45,043.24 is: 62,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,847.08 : 106,058.82 = 45,043.24 : x
  2. Step 2: Convert to fraction form
    76,847.08/106,058.82 = 45,043.24/x
  3. Step 3: Cross multiply
    76,847.08x = 106,058.82 × 45,043.24
  4. Step 4: Simplify right side
    76,847.08x = 4,777,232,883.38
  5. Step 5: Solve for x
    x = 4,777,232,883.38/76,847.08
  6. Step 6: Final answer
    x = 62,165.44

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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.