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Finding the Fourth Proportional to 34,141.80, 51,215.10 and 19,357.80

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Solution

The fourth proportional to 34,141.80, 51,215.10 and 19,357.80 is: 29,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,141.80 : 51,215.10 = 19,357.80 : x
  2. Step 2: Convert to fraction form
    34,141.80/51,215.10 = 19,357.80/x
  3. Step 3: Cross multiply
    34,141.80x = 51,215.10 × 19,357.80
  4. Step 4: Simplify right side
    34,141.80x = 991,411,662.78
  5. Step 5: Solve for x
    x = 991,411,662.78/34,141.80
  6. Step 6: Final answer
    x = 29,038.06

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