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Finding the Fourth Proportional to 76,894.08, 106,107.84 and 45,058.56

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Solution

The fourth proportional to 76,894.08, 106,107.84 and 45,058.56 is: 62,177.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,894.08 : 106,107.84 = 45,058.56 : x
  2. Step 2: Convert to fraction form
    76,894.08/106,107.84 = 45,058.56/x
  3. Step 3: Cross multiply
    76,894.08x = 106,107.84 × 45,058.56
  4. Step 4: Simplify right side
    76,894.08x = 4,781,066,475.11
  5. Step 5: Solve for x
    x = 4,781,066,475.11/76,894.08
  6. Step 6: Final answer
    x = 62,177.30

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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.