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Finding the Fourth Proportional to 55,055.40, 75,975 and 31,184.40

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Solution

The fourth proportional to 55,055.40, 75,975 and 31,184.40 is: 43,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,055.40 : 75,975 = 31,184.40 : x
  2. Step 2: Convert to fraction form
    55,055.40/75,975 = 31,184.40/x
  3. Step 3: Cross multiply
    55,055.40x = 75,975 × 31,184.40
  4. Step 4: Simplify right side
    55,055.40x = 2,369,234,790
  5. Step 5: Solve for x
    x = 2,369,234,790/55,055.40
  6. Step 6: Final answer
    x = 43,033.65

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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.