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Finding the Fourth Proportional to 47,760, 71,666.28 and 23,136

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Solution

The fourth proportional to 47,760, 71,666.28 and 23,136 is: 34,716.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,760 : 71,666.28 = 23,136 : x
  2. Step 2: Convert to fraction form
    47,760/71,666.28 = 23,136/x
  3. Step 3: Cross multiply
    47,760x = 71,666.28 × 23,136
  4. Step 4: Simplify right side
    47,760x = 1,658,071,054.08
  5. Step 5: Solve for x
    x = 1,658,071,054.08/47,760
  6. Step 6: Final answer
    x = 34,716.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.