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Finding the Fourth Proportional to 52,384.66, 78,569.31 and 17,324.82

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Solution

The fourth proportional to 52,384.66, 78,569.31 and 17,324.82 is: 25,984.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,384.66 : 78,569.31 = 17,324.82 : x
  2. Step 2: Convert to fraction form
    52,384.66/78,569.31 = 17,324.82/x
  3. Step 3: Cross multiply
    52,384.66x = 78,569.31 × 17,324.82
  4. Step 4: Simplify right side
    52,384.66x = 1,361,199,153.27
  5. Step 5: Solve for x
    x = 1,361,199,153.27/52,384.66
  6. Step 6: Final answer
    x = 25,984.69

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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.