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Finding the Fourth Proportional to 76,850.94, 106,054.10 and 42,859.47

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Solution

The fourth proportional to 76,850.94, 106,054.10 and 42,859.47 is: 59,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,850.94 : 106,054.10 = 42,859.47 : x
  2. Step 2: Convert to fraction form
    76,850.94/106,054.10 = 42,859.47/x
  3. Step 3: Cross multiply
    76,850.94x = 106,054.10 × 42,859.47
  4. Step 4: Simplify right side
    76,850.94x = 4,545,422,303.03
  5. Step 5: Solve for x
    x = 4,545,422,303.03/76,850.94
  6. Step 6: Final answer
    x = 59,145.96

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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.