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Finding the Fourth Proportional to 55,291.87, 76,296.09 and 31,411.86

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Solution

The fourth proportional to 55,291.87, 76,296.09 and 31,411.86 is: 43,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,291.87 : 76,296.09 = 31,411.86 : x
  2. Step 2: Convert to fraction form
    55,291.87/76,296.09 = 31,411.86/x
  3. Step 3: Cross multiply
    55,291.87x = 76,296.09 × 31,411.86
  4. Step 4: Simplify right side
    55,291.87x = 2,396,602,097.63
  5. Step 5: Solve for x
    x = 2,396,602,097.63/55,291.87
  6. Step 6: Final answer
    x = 43,344.57

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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.