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Finding the Fourth Proportional to 55,382.08, 76,426.08 and 30,232

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Solution

The fourth proportional to 55,382.08, 76,426.08 and 30,232 is: 41,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,382.08 : 76,426.08 = 30,232 : x
  2. Step 2: Convert to fraction form
    55,382.08/76,426.08 = 30,232/x
  3. Step 3: Cross multiply
    55,382.08x = 76,426.08 × 30,232
  4. Step 4: Simplify right side
    55,382.08x = 2,310,513,250.56
  5. Step 5: Solve for x
    x = 2,310,513,250.56/55,382.08
  6. Step 6: Final answer
    x = 41,719.51

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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.