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Finding the Fourth Proportional to 37,447.36, 51,686.02 and 21,541

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Solution

The fourth proportional to 37,447.36, 51,686.02 and 21,541 is: 29,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,447.36 : 51,686.02 = 21,541 : x
  2. Step 2: Convert to fraction form
    37,447.36/51,686.02 = 21,541/x
  3. Step 3: Cross multiply
    37,447.36x = 51,686.02 × 21,541
  4. Step 4: Simplify right side
    37,447.36x = 1,113,368,556.82
  5. Step 5: Solve for x
    x = 1,113,368,556.82/37,447.36
  6. Step 6: Final answer
    x = 29,731.56

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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.