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Finding the Fourth Proportional to 125,518.44, 188,281.24 and 36,772

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Solution

The fourth proportional to 125,518.44, 188,281.24 and 36,772 is: 55,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,518.44 : 188,281.24 = 36,772 : x
  2. Step 2: Convert to fraction form
    125,518.44/188,281.24 = 36,772/x
  3. Step 3: Cross multiply
    125,518.44x = 188,281.24 × 36,772
  4. Step 4: Simplify right side
    125,518.44x = 6,923,477,757.28
  5. Step 5: Solve for x
    x = 6,923,477,757.28/125,518.44
  6. Step 6: Final answer
    x = 55,159.05

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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.