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Finding the Fourth Proportional to 34,709.16, 52,034.94 and 19,929

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Solution

The fourth proportional to 34,709.16, 52,034.94 and 19,929 is: 29,876.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,709.16 : 52,034.94 = 19,929 : x
  2. Step 2: Convert to fraction form
    34,709.16/52,034.94 = 19,929/x
  3. Step 3: Cross multiply
    34,709.16x = 52,034.94 × 19,929
  4. Step 4: Simplify right side
    34,709.16x = 1,037,004,319.26
  5. Step 5: Solve for x
    x = 1,037,004,319.26/34,709.16
  6. Step 6: Final answer
    x = 29,876.96

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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.