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Finding the Fourth Proportional to 125,772.01, 188,593.09 and 37,014

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Solution

The fourth proportional to 125,772.01, 188,593.09 and 37,014 is: 55,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,772.01 : 188,593.09 = 37,014 : x
  2. Step 2: Convert to fraction form
    125,772.01/188,593.09 = 37,014/x
  3. Step 3: Cross multiply
    125,772.01x = 188,593.09 × 37,014
  4. Step 4: Simplify right side
    125,772.01x = 6,980,584,633.26
  5. Step 5: Solve for x
    x = 6,980,584,633.26/125,772.01
  6. Step 6: Final answer
    x = 55,501.89

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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.