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Finding the Fourth Proportional to 55,008.45, 75,980.16 and 42,414.48

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Solution

The fourth proportional to 55,008.45, 75,980.16 and 42,414.48 is: 58,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,008.45 : 75,980.16 = 42,414.48 : x
  2. Step 2: Convert to fraction form
    55,008.45/75,980.16 = 42,414.48/x
  3. Step 3: Cross multiply
    55,008.45x = 75,980.16 × 42,414.48
  4. Step 4: Simplify right side
    55,008.45x = 3,222,658,976.72
  5. Step 5: Solve for x
    x = 3,222,658,976.72/55,008.45
  6. Step 6: Final answer
    x = 58,584.80

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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.