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Finding the Fourth Proportional to 52,409.26, 78,616.82 and 14,966.47

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Solution

The fourth proportional to 52,409.26, 78,616.82 and 14,966.47 is: 22,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,409.26 : 78,616.82 = 14,966.47 : x
  2. Step 2: Convert to fraction form
    52,409.26/78,616.82 = 14,966.47/x
  3. Step 3: Cross multiply
    52,409.26x = 78,616.82 × 14,966.47
  4. Step 4: Simplify right side
    52,409.26x = 1,176,616,278.03
  5. Step 5: Solve for x
    x = 1,176,616,278.03/52,409.26
  6. Step 6: Final answer
    x = 22,450.54

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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.