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Finding the Fourth Proportional to 33,461, 46,177.70 and 18,557

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Solution

The fourth proportional to 33,461, 46,177.70 and 18,557 is: 25,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,461 : 46,177.70 = 18,557 : x
  2. Step 2: Convert to fraction form
    33,461/46,177.70 = 18,557/x
  3. Step 3: Cross multiply
    33,461x = 46,177.70 × 18,557
  4. Step 4: Simplify right side
    33,461x = 856,919,578.90
  5. Step 5: Solve for x
    x = 856,919,578.90/33,461
  6. Step 6: Final answer
    x = 25,609.50

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