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Finding the Fourth Proportional to 55,892.16, 77,136.84 and 32,022

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Solution

The fourth proportional to 55,892.16, 77,136.84 and 32,022 is: 44,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,892.16 : 77,136.84 = 32,022 : x
  2. Step 2: Convert to fraction form
    55,892.16/77,136.84 = 32,022/x
  3. Step 3: Cross multiply
    55,892.16x = 77,136.84 × 32,022
  4. Step 4: Simplify right side
    55,892.16x = 2,470,075,890.48
  5. Step 5: Solve for x
    x = 2,470,075,890.48/55,892.16
  6. Step 6: Final answer
    x = 44,193.60

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Why These Related Problems?

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