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Finding the Fourth Proportional to 55,663, 83,499.36 and 14,110

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Solution

The fourth proportional to 55,663, 83,499.36 and 14,110 is: 21,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,663 : 83,499.36 = 14,110 : x
  2. Step 2: Convert to fraction form
    55,663/83,499.36 = 14,110/x
  3. Step 3: Cross multiply
    55,663x = 83,499.36 × 14,110
  4. Step 4: Simplify right side
    55,663x = 1,178,175,969.60
  5. Step 5: Solve for x
    x = 1,178,175,969.60/55,663
  6. Step 6: Final answer
    x = 21,166.23

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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.