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Finding the Fourth Proportional to 100,458.38, 150,682.62 and 37,290.80

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Solution

The fourth proportional to 100,458.38, 150,682.62 and 37,290.80 is: 55,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,458.38 : 150,682.62 = 37,290.80 : x
  2. Step 2: Convert to fraction form
    100,458.38/150,682.62 = 37,290.80/x
  3. Step 3: Cross multiply
    100,458.38x = 150,682.62 × 37,290.80
  4. Step 4: Simplify right side
    100,458.38x = 5,619,075,445.90
  5. Step 5: Solve for x
    x = 5,619,075,445.90/100,458.38
  6. Step 6: Final answer
    x = 55,934.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.