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Finding the Fourth Proportional to 34,575.38, 51,851.49 and 13,509.95

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Solution

The fourth proportional to 34,575.38, 51,851.49 and 13,509.95 is: 20,260.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,575.38 : 51,851.49 = 13,509.95 : x
  2. Step 2: Convert to fraction form
    34,575.38/51,851.49 = 13,509.95/x
  3. Step 3: Cross multiply
    34,575.38x = 51,851.49 × 13,509.95
  4. Step 4: Simplify right side
    34,575.38x = 700,510,778.07
  5. Step 5: Solve for x
    x = 700,510,778.07/34,575.38
  6. Step 6: Final answer
    x = 20,260.40

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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.