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Finding the Fourth Proportional to 55,922, 83,883 and 14,369

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Solution

The fourth proportional to 55,922, 83,883 and 14,369 is: 21,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,922 : 83,883 = 14,369 : x
  2. Step 2: Convert to fraction form
    55,922/83,883 = 14,369/x
  3. Step 3: Cross multiply
    55,922x = 83,883 × 14,369
  4. Step 4: Simplify right side
    55,922x = 1,205,314,827
  5. Step 5: Solve for x
    x = 1,205,314,827/55,922
  6. Step 6: Final answer
    x = 21,553.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.