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Finding the Fourth Proportional to 76,958.08, 106,199.12 and 43,424.16

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Solution

The fourth proportional to 76,958.08, 106,199.12 and 43,424.16 is: 59,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,958.08 : 106,199.12 = 43,424.16 : x
  2. Step 2: Convert to fraction form
    76,958.08/106,199.12 = 43,424.16/x
  3. Step 3: Cross multiply
    76,958.08x = 106,199.12 × 43,424.16
  4. Step 4: Simplify right side
    76,958.08x = 4,611,607,578.74
  5. Step 5: Solve for x
    x = 4,611,607,578.74/76,958.08
  6. Step 6: Final answer
    x = 59,923.63

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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.