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Finding the Fourth Proportional to 38,537.10, 57,805.65 and 10,835.10

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Solution

The fourth proportional to 38,537.10, 57,805.65 and 10,835.10 is: 16,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,537.10 : 57,805.65 = 10,835.10 : x
  2. Step 2: Convert to fraction form
    38,537.10/57,805.65 = 10,835.10/x
  3. Step 3: Cross multiply
    38,537.10x = 57,805.65 × 10,835.10
  4. Step 4: Simplify right side
    38,537.10x = 626,329,998.32
  5. Step 5: Solve for x
    x = 626,329,998.32/38,537.10
  6. Step 6: Final answer
    x = 16,252.65

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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.