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Finding the Fourth Proportional to 34,185.24, 51,291.90 and 15,460.20

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Solution

The fourth proportional to 34,185.24, 51,291.90 and 15,460.20 is: 23,196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,185.24 : 51,291.90 = 15,460.20 : x
  2. Step 2: Convert to fraction form
    34,185.24/51,291.90 = 15,460.20/x
  3. Step 3: Cross multiply
    34,185.24x = 51,291.90 × 15,460.20
  4. Step 4: Simplify right side
    34,185.24x = 792,983,032.38
  5. Step 5: Solve for x
    x = 792,983,032.38/34,185.24
  6. Step 6: Final answer
    x = 23,196.65

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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.