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Finding the Fourth Proportional to 55,295.68, 76,309.19 and 31,097.11

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Solution

The fourth proportional to 55,295.68, 76,309.19 and 31,097.11 is: 42,914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,295.68 : 76,309.19 = 31,097.11 : x
  2. Step 2: Convert to fraction form
    55,295.68/76,309.19 = 31,097.11/x
  3. Step 3: Cross multiply
    55,295.68x = 76,309.19 × 31,097.11
  4. Step 4: Simplify right side
    55,295.68x = 2,372,995,275.44
  5. Step 5: Solve for x
    x = 2,372,995,275.44/55,295.68
  6. Step 6: Final answer
    x = 42,914.66

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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.