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Finding the Fourth Proportional to 55,996.66, 77,275.38 and 30,846.16

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Solution

The fourth proportional to 55,996.66, 77,275.38 and 30,846.16 is: 42,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,996.66 : 77,275.38 = 30,846.16 : x
  2. Step 2: Convert to fraction form
    55,996.66/77,275.38 = 30,846.16/x
  3. Step 3: Cross multiply
    55,996.66x = 77,275.38 × 30,846.16
  4. Step 4: Simplify right side
    55,996.66x = 2,383,648,735.54
  5. Step 5: Solve for x
    x = 2,383,648,735.54/55,996.66
  6. Step 6: Final answer
    x = 42,567.69

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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.