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Finding the Fourth Proportional to 52,643.24, 78,965.50 and 17,583

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Solution

The fourth proportional to 52,643.24, 78,965.50 and 17,583 is: 26,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,643.24 : 78,965.50 = 17,583 : x
  2. Step 2: Convert to fraction form
    52,643.24/78,965.50 = 17,583/x
  3. Step 3: Cross multiply
    52,643.24x = 78,965.50 × 17,583
  4. Step 4: Simplify right side
    52,643.24x = 1,388,450,386.50
  5. Step 5: Solve for x
    x = 1,388,450,386.50/52,643.24
  6. Step 6: Final answer
    x = 26,374.71

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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.