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Finding the Fourth Proportional to 59,258.58, 81,728.07 and 42,257.37

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Solution

The fourth proportional to 59,258.58, 81,728.07 and 42,257.37 is: 58,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,258.58 : 81,728.07 = 42,257.37 : x
  2. Step 2: Convert to fraction form
    59,258.58/81,728.07 = 42,257.37/x
  3. Step 3: Cross multiply
    59,258.58x = 81,728.07 × 42,257.37
  4. Step 4: Simplify right side
    59,258.58x = 3,453,613,293.38
  5. Step 5: Solve for x
    x = 3,453,613,293.38/59,258.58
  6. Step 6: Final answer
    x = 58,280.39

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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.