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Finding the Fourth Proportional to 55,838.72, 77,063.68 and 31,968

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Solution

The fourth proportional to 55,838.72, 77,063.68 and 31,968 is: 44,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,838.72 : 77,063.68 = 31,968 : x
  2. Step 2: Convert to fraction form
    55,838.72/77,063.68 = 31,968/x
  3. Step 3: Cross multiply
    55,838.72x = 77,063.68 × 31,968
  4. Step 4: Simplify right side
    55,838.72x = 2,463,571,722.24
  5. Step 5: Solve for x
    x = 2,463,571,722.24/55,838.72
  6. Step 6: Final answer
    x = 44,119.42

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