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Finding the Fourth Proportional to 55,822.68, 77,034.06 and 30,328.38

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Solution

The fourth proportional to 55,822.68, 77,034.06 and 30,328.38 is: 41,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,822.68 : 77,034.06 = 30,328.38 : x
  2. Step 2: Convert to fraction form
    55,822.68/77,034.06 = 30,328.38/x
  3. Step 3: Cross multiply
    55,822.68x = 77,034.06 × 30,328.38
  4. Step 4: Simplify right side
    55,822.68x = 2,336,318,244.62
  5. Step 5: Solve for x
    x = 2,336,318,244.62/55,822.68
  6. Step 6: Final answer
    x = 41,852.49

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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.