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Finding the Fourth Proportional to 75,638.16, 104,376.60 and 42,102

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Solution

The fourth proportional to 75,638.16, 104,376.60 and 42,102 is: 58,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,638.16 : 104,376.60 = 42,102 : x
  2. Step 2: Convert to fraction form
    75,638.16/104,376.60 = 42,102/x
  3. Step 3: Cross multiply
    75,638.16x = 104,376.60 × 42,102
  4. Step 4: Simplify right side
    75,638.16x = 4,394,463,613.20
  5. Step 5: Solve for x
    x = 4,394,463,613.20/75,638.16
  6. Step 6: Final answer
    x = 58,098.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.