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Finding the Fourth Proportional to 75,835.97, 104,653.64 and 42,301.97

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Solution

The fourth proportional to 75,835.97, 104,653.64 and 42,301.97 is: 58,376.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,835.97 : 104,653.64 = 42,301.97 : x
  2. Step 2: Convert to fraction form
    75,835.97/104,653.64 = 42,301.97/x
  3. Step 3: Cross multiply
    75,835.97x = 104,653.64 × 42,301.97
  4. Step 4: Simplify right side
    75,835.97x = 4,427,054,876.66
  5. Step 5: Solve for x
    x = 4,427,054,876.66/75,835.97
  6. Step 6: Final answer
    x = 58,376.72

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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.