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Finding the Fourth Proportional to 55,722.70, 83,583.76 and 13,603

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Solution

The fourth proportional to 55,722.70, 83,583.76 and 13,603 is: 20,404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,722.70 : 83,583.76 = 13,603 : x
  2. Step 2: Convert to fraction form
    55,722.70/83,583.76 = 13,603/x
  3. Step 3: Cross multiply
    55,722.70x = 83,583.76 × 13,603
  4. Step 4: Simplify right side
    55,722.70x = 1,136,989,887.28
  5. Step 5: Solve for x
    x = 1,136,989,887.28/55,722.70
  6. Step 6: Final answer
    x = 20,404.43

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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.