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Finding the Fourth Proportional to 55,597.50, 76,724.82 and 30,447

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Solution

The fourth proportional to 55,597.50, 76,724.82 and 30,447 is: 42,017.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,597.50 : 76,724.82 = 30,447 : x
  2. Step 2: Convert to fraction form
    55,597.50/76,724.82 = 30,447/x
  3. Step 3: Cross multiply
    55,597.50x = 76,724.82 × 30,447
  4. Step 4: Simplify right side
    55,597.50x = 2,336,040,594.54
  5. Step 5: Solve for x
    x = 2,336,040,594.54/55,597.50
  6. Step 6: Final answer
    x = 42,017.01

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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.