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Finding the Fourth Proportional to 77,744.25, 107,146.35 and 58,493.25

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Solution

The fourth proportional to 77,744.25, 107,146.35 and 58,493.25 is: 80,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,744.25 : 107,146.35 = 58,493.25 : x
  2. Step 2: Convert to fraction form
    77,744.25/107,146.35 = 58,493.25/x
  3. Step 3: Cross multiply
    77,744.25x = 107,146.35 × 58,493.25
  4. Step 4: Simplify right side
    77,744.25x = 6,267,338,237.14
  5. Step 5: Solve for x
    x = 6,267,338,237.14/77,744.25
  6. Step 6: Final answer
    x = 80,614.81

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1.5x scale

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.