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Finding the Fourth Proportional to 34,723.32, 52,085.01 and 8,428.09

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Solution

The fourth proportional to 34,723.32, 52,085.01 and 8,428.09 is: 12,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,723.32 : 52,085.01 = 8,428.09 : x
  2. Step 2: Convert to fraction form
    34,723.32/52,085.01 = 8,428.09/x
  3. Step 3: Cross multiply
    34,723.32x = 52,085.01 × 8,428.09
  4. Step 4: Simplify right side
    34,723.32x = 438,977,151.93
  5. Step 5: Solve for x
    x = 438,977,151.93/34,723.32
  6. Step 6: Final answer
    x = 12,642.14

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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.