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Finding the Fourth Proportional to 76,476, 105,553.74 and 42,496.14

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Solution

The fourth proportional to 76,476, 105,553.74 and 42,496.14 is: 58,654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,476 : 105,553.74 = 42,496.14 : x
  2. Step 2: Convert to fraction form
    76,476/105,553.74 = 42,496.14/x
  3. Step 3: Cross multiply
    76,476x = 105,553.74 × 42,496.14
  4. Step 4: Simplify right side
    76,476x = 4,485,626,512.56
  5. Step 5: Solve for x
    x = 4,485,626,512.56/76,476
  6. Step 6: Final answer
    x = 58,654.04

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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.