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Finding the Fourth Proportional to 55,419.50, 76,479.32 and 30,269

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Solution

The fourth proportional to 55,419.50, 76,479.32 and 30,269 is: 41,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,419.50 : 76,479.32 = 30,269 : x
  2. Step 2: Convert to fraction form
    55,419.50/76,479.32 = 30,269/x
  3. Step 3: Cross multiply
    55,419.50x = 76,479.32 × 30,269
  4. Step 4: Simplify right side
    55,419.50x = 2,314,952,385.74
  5. Step 5: Solve for x
    x = 2,314,952,385.74/55,419.50
  6. Step 6: Final answer
    x = 41,771.44

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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.