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Finding the Fourth Proportional to 55,616.12, 76,712.76 and 34,405.88

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Solution

The fourth proportional to 55,616.12, 76,712.76 and 34,405.88 is: 47,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,616.12 : 76,712.76 = 34,405.88 : x
  2. Step 2: Convert to fraction form
    55,616.12/76,712.76 = 34,405.88/x
  3. Step 3: Cross multiply
    55,616.12x = 76,712.76 × 34,405.88
  4. Step 4: Simplify right side
    55,616.12x = 2,639,370,015.03
  5. Step 5: Solve for x
    x = 2,639,370,015.03/55,616.12
  6. Step 6: Final answer
    x = 47,456.92

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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.