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Finding the Fourth Proportional to 55,774.34, 76,965.90 and 30,280.16

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Solution

The fourth proportional to 55,774.34, 76,965.90 and 30,280.16 is: 41,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,774.34 : 76,965.90 = 30,280.16 : x
  2. Step 2: Convert to fraction form
    55,774.34/76,965.90 = 30,280.16/x
  3. Step 3: Cross multiply
    55,774.34x = 76,965.90 × 30,280.16
  4. Step 4: Simplify right side
    55,774.34x = 2,330,539,766.54
  5. Step 5: Solve for x
    x = 2,330,539,766.54/55,774.34
  6. Step 6: Final answer
    x = 41,785.16

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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.