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Finding the Fourth Proportional to 37,561.34, 51,837.14 and 21,646.81

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Solution

The fourth proportional to 37,561.34, 51,837.14 and 21,646.81 is: 29,874.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,561.34 : 51,837.14 = 21,646.81 : x
  2. Step 2: Convert to fraction form
    37,561.34/51,837.14 = 21,646.81/x
  3. Step 3: Cross multiply
    37,561.34x = 51,837.14 × 21,646.81
  4. Step 4: Simplify right side
    37,561.34x = 1,122,108,590.93
  5. Step 5: Solve for x
    x = 1,122,108,590.93/37,561.34
  6. Step 6: Final answer
    x = 29,874.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.