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Finding the Fourth Proportional to 77,583, 116,381.25 and 21,423.18

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Solution

The fourth proportional to 77,583, 116,381.25 and 21,423.18 is: 32,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,583 : 116,381.25 = 21,423.18 : x
  2. Step 2: Convert to fraction form
    77,583/116,381.25 = 21,423.18/x
  3. Step 3: Cross multiply
    77,583x = 116,381.25 × 21,423.18
  4. Step 4: Simplify right side
    77,583x = 2,493,256,467.38
  5. Step 5: Solve for x
    x = 2,493,256,467.38/77,583
  6. Step 6: Final answer
    x = 32,136.63

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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.