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Finding the Fourth Proportional to 34,235.40, 51,357.10 and 10,864.20

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Solution

The fourth proportional to 34,235.40, 51,357.10 and 10,864.20 is: 16,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,235.40 : 51,357.10 = 10,864.20 : x
  2. Step 2: Convert to fraction form
    34,235.40/51,357.10 = 10,864.20/x
  3. Step 3: Cross multiply
    34,235.40x = 51,357.10 × 10,864.20
  4. Step 4: Simplify right side
    34,235.40x = 557,953,805.82
  5. Step 5: Solve for x
    x = 557,953,805.82/34,235.40
  6. Step 6: Final answer
    x = 16,297.57

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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.