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Finding the Fourth Proportional to 55,803.92, 77,010.21 and 30,310.38

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Solution

The fourth proportional to 55,803.92, 77,010.21 and 30,310.38 is: 41,828.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,803.92 : 77,010.21 = 30,310.38 : x
  2. Step 2: Convert to fraction form
    55,803.92/77,010.21 = 30,310.38/x
  3. Step 3: Cross multiply
    55,803.92x = 77,010.21 × 30,310.38
  4. Step 4: Simplify right side
    55,803.92x = 2,334,208,728.98
  5. Step 5: Solve for x
    x = 2,334,208,728.98/55,803.92
  6. Step 6: Final answer
    x = 41,828.76

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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.