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Finding the Fourth Proportional to 55,884, 77,120.16 and 30,735.36

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Solution

The fourth proportional to 55,884, 77,120.16 and 30,735.36 is: 42,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,884 : 77,120.16 = 30,735.36 : x
  2. Step 2: Convert to fraction form
    55,884/77,120.16 = 30,735.36/x
  3. Step 3: Cross multiply
    55,884x = 77,120.16 × 30,735.36
  4. Step 4: Simplify right side
    55,884x = 2,370,315,880.86
  5. Step 5: Solve for x
    x = 2,370,315,880.86/55,884
  6. Step 6: Final answer
    x = 42,414.93

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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.