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Finding the Fourth Proportional to 76,937.67, 106,179.32 and 42,952.84

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Solution

The fourth proportional to 76,937.67, 106,179.32 and 42,952.84 is: 59,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,937.67 : 106,179.32 = 42,952.84 : x
  2. Step 2: Convert to fraction form
    76,937.67/106,179.32 = 42,952.84/x
  3. Step 3: Cross multiply
    76,937.67x = 106,179.32 × 42,952.84
  4. Step 4: Simplify right side
    76,937.67x = 4,560,703,185.20
  5. Step 5: Solve for x
    x = 4,560,703,185.20/76,937.67
  6. Step 6: Final answer
    x = 59,277.90

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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.