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Finding the Fourth Proportional to 55,319.56, 76,340.22 and 30,169

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Solution

The fourth proportional to 55,319.56, 76,340.22 and 30,169 is: 41,632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,319.56 : 76,340.22 = 30,169 : x
  2. Step 2: Convert to fraction form
    55,319.56/76,340.22 = 30,169/x
  3. Step 3: Cross multiply
    55,319.56x = 76,340.22 × 30,169
  4. Step 4: Simplify right side
    55,319.56x = 2,303,108,097.18
  5. Step 5: Solve for x
    x = 2,303,108,097.18/55,319.56
  6. Step 6: Final answer
    x = 41,632.80

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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.