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Finding the Fourth Proportional to 83,765.64, 125,337.34 and 46,855.56

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Solution

The fourth proportional to 83,765.64, 125,337.34 and 46,855.56 is: 70,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,765.64 : 125,337.34 = 46,855.56 : x
  2. Step 2: Convert to fraction form
    83,765.64/125,337.34 = 46,855.56/x
  3. Step 3: Cross multiply
    83,765.64x = 125,337.34 × 46,855.56
  4. Step 4: Simplify right side
    83,765.64x = 5,872,751,254.61
  5. Step 5: Solve for x
    x = 5,872,751,254.61/83,765.64
  6. Step 6: Final answer
    x = 70,109.31

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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.