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Finding the Fourth Proportional to 34,842.53, 48,082.70 and 18,927.09

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Solution

The fourth proportional to 34,842.53, 48,082.70 and 18,927.09 is: 26,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,842.53 : 48,082.70 = 18,927.09 : x
  2. Step 2: Convert to fraction form
    34,842.53/48,082.70 = 18,927.09/x
  3. Step 3: Cross multiply
    34,842.53x = 48,082.70 × 18,927.09
  4. Step 4: Simplify right side
    34,842.53x = 910,065,637.66
  5. Step 5: Solve for x
    x = 910,065,637.66/34,842.53
  6. Step 6: Final answer
    x = 26,119.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.