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Finding the Fourth Proportional to 37,089.74, 55,634.10 and 9,010

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Solution

The fourth proportional to 37,089.74, 55,634.10 and 9,010 is: 13,514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,089.74 : 55,634.10 = 9,010 : x
  2. Step 2: Convert to fraction form
    37,089.74/55,634.10 = 9,010/x
  3. Step 3: Cross multiply
    37,089.74x = 55,634.10 × 9,010
  4. Step 4: Simplify right side
    37,089.74x = 501,263,241
  5. Step 5: Solve for x
    x = 501,263,241/37,089.74
  6. Step 6: Final answer
    x = 13,514.88

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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.