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Finding the Fourth Proportional to 125,693.84, 188,573.16 and 36,950.24

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Solution

The fourth proportional to 125,693.84, 188,573.16 and 36,950.24 is: 55,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,693.84 : 188,573.16 = 36,950.24 : x
  2. Step 2: Convert to fraction form
    125,693.84/188,573.16 = 36,950.24/x
  3. Step 3: Cross multiply
    125,693.84x = 188,573.16 × 36,950.24
  4. Step 4: Simplify right side
    125,693.84x = 6,967,823,519.56
  5. Step 5: Solve for x
    x = 6,967,823,519.56/125,693.84
  6. Step 6: Final answer
    x = 55,434.88

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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.