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Finding the Fourth Proportional to 75,634, 104,374.92 and 42,099.28

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Solution

The fourth proportional to 75,634, 104,374.92 and 42,099.28 is: 58,097.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,634 : 104,374.92 = 42,099.28 : x
  2. Step 2: Convert to fraction form
    75,634/104,374.92 = 42,099.28/x
  3. Step 3: Cross multiply
    75,634x = 104,374.92 × 42,099.28
  4. Step 4: Simplify right side
    75,634x = 4,394,108,982.06
  5. Step 5: Solve for x
    x = 4,394,108,982.06/75,634
  6. Step 6: Final answer
    x = 58,097.01

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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.