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Finding the Fourth Proportional to 37,184.31, 51,314.35 and 20,417.31

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Solution

The fourth proportional to 37,184.31, 51,314.35 and 20,417.31 is: 28,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,184.31 : 51,314.35 = 20,417.31 : x
  2. Step 2: Convert to fraction form
    37,184.31/51,314.35 = 20,417.31/x
  3. Step 3: Cross multiply
    37,184.31x = 51,314.35 × 20,417.31
  4. Step 4: Simplify right side
    37,184.31x = 1,047,701,170.73
  5. Step 5: Solve for x
    x = 1,047,701,170.73/37,184.31
  6. Step 6: Final answer
    x = 28,175.89

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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.