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Finding the Fourth Proportional to 37,567.64, 51,849.04 and 21,434.87

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Solution

The fourth proportional to 37,567.64, 51,849.04 and 21,434.87 is: 29,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,567.64 : 51,849.04 = 21,434.87 : x
  2. Step 2: Convert to fraction form
    37,567.64/51,849.04 = 21,434.87/x
  3. Step 3: Cross multiply
    37,567.64x = 51,849.04 × 21,434.87
  4. Step 4: Simplify right side
    37,567.64x = 1,111,377,508.06
  5. Step 5: Solve for x
    x = 1,111,377,508.06/37,567.64
  6. Step 6: Final answer
    x = 29,583.37

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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.