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Finding the Fourth Proportional to 76,058.81, 104,961.86 and 42,065.54

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Solution

The fourth proportional to 76,058.81, 104,961.86 and 42,065.54 is: 58,050.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,058.81 : 104,961.86 = 42,065.54 : x
  2. Step 2: Convert to fraction form
    76,058.81/104,961.86 = 42,065.54/x
  3. Step 3: Cross multiply
    76,058.81x = 104,961.86 × 42,065.54
  4. Step 4: Simplify right side
    76,058.81x = 4,415,276,585.17
  5. Step 5: Solve for x
    x = 4,415,276,585.17/76,058.81
  6. Step 6: Final answer
    x = 58,050.83

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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.