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Finding the Fourth Proportional to 55,767.38, 76,960.60 and 30,618.50

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Solution

The fourth proportional to 55,767.38, 76,960.60 and 30,618.50 is: 42,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,767.38 : 76,960.60 = 30,618.50 : x
  2. Step 2: Convert to fraction form
    55,767.38/76,960.60 = 30,618.50/x
  3. Step 3: Cross multiply
    55,767.38x = 76,960.60 × 30,618.50
  4. Step 4: Simplify right side
    55,767.38x = 2,356,417,669.75
  5. Step 5: Solve for x
    x = 2,356,417,669.75/55,767.38
  6. Step 6: Final answer
    x = 42,254.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.