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Finding the Fourth Proportional to 56,258.74, 77,634.21 and 31,103.38

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Solution

The fourth proportional to 56,258.74, 77,634.21 and 31,103.38 is: 42,921.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,258.74 : 77,634.21 = 31,103.38 : x
  2. Step 2: Convert to fraction form
    56,258.74/77,634.21 = 31,103.38/x
  3. Step 3: Cross multiply
    56,258.74x = 77,634.21 × 31,103.38
  4. Step 4: Simplify right side
    56,258.74x = 2,414,686,334.63
  5. Step 5: Solve for x
    x = 2,414,686,334.63/56,258.74
  6. Step 6: Final answer
    x = 42,921.09

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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.