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Finding the Fourth Proportional to 55,750.50, 76,935.96 and 30,600

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Solution

The fourth proportional to 55,750.50, 76,935.96 and 30,600 is: 42,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,750.50 : 76,935.96 = 30,600 : x
  2. Step 2: Convert to fraction form
    55,750.50/76,935.96 = 30,600/x
  3. Step 3: Cross multiply
    55,750.50x = 76,935.96 × 30,600
  4. Step 4: Simplify right side
    55,750.50x = 2,354,240,376
  5. Step 5: Solve for x
    x = 2,354,240,376/55,750.50
  6. Step 6: Final answer
    x = 42,228.15

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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.