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Finding the Fourth Proportional to 55,108.74, 76,045.19 and 30,580.16

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Solution

The fourth proportional to 55,108.74, 76,045.19 and 30,580.16 is: 42,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,108.74 : 76,045.19 = 30,580.16 : x
  2. Step 2: Convert to fraction form
    55,108.74/76,045.19 = 30,580.16/x
  3. Step 3: Cross multiply
    55,108.74x = 76,045.19 × 30,580.16
  4. Step 4: Simplify right side
    55,108.74x = 2,325,474,077.43
  5. Step 5: Solve for x
    x = 2,325,474,077.43/55,108.74
  6. Step 6: Final answer
    x = 42,197.92

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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.