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Finding the Fourth Proportional to 57,137.90, 85,654.34 and 19,689.06

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Solution

The fourth proportional to 57,137.90, 85,654.34 and 19,689.06 is: 29,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,137.90 : 85,654.34 = 19,689.06 : x
  2. Step 2: Convert to fraction form
    57,137.90/85,654.34 = 19,689.06/x
  3. Step 3: Cross multiply
    57,137.90x = 85,654.34 × 19,689.06
  4. Step 4: Simplify right side
    57,137.90x = 1,686,453,439.52
  5. Step 5: Solve for x
    x = 1,686,453,439.52/57,137.90
  6. Step 6: Final answer
    x = 29,515.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.