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Finding the Fourth Proportional to 125,577.96, 188,368.41 and 36,833.24

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Solution

The fourth proportional to 125,577.96, 188,368.41 and 36,833.24 is: 55,250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,577.96 : 188,368.41 = 36,833.24 : x
  2. Step 2: Convert to fraction form
    125,577.96/188,368.41 = 36,833.24/x
  3. Step 3: Cross multiply
    125,577.96x = 188,368.41 × 36,833.24
  4. Step 4: Simplify right side
    125,577.96x = 6,938,217,912.11
  5. Step 5: Solve for x
    x = 6,938,217,912.11/125,577.96
  6. Step 6: Final answer
    x = 55,250.28

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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.