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Finding the Fourth Proportional to 47,006.30, 70,572.02 and 27,299

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Solution

The fourth proportional to 47,006.30, 70,572.02 and 27,299 is: 40,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,006.30 : 70,572.02 = 27,299 : x
  2. Step 2: Convert to fraction form
    47,006.30/70,572.02 = 27,299/x
  3. Step 3: Cross multiply
    47,006.30x = 70,572.02 × 27,299
  4. Step 4: Simplify right side
    47,006.30x = 1,926,545,573.98
  5. Step 5: Solve for x
    x = 1,926,545,573.98/47,006.30
  6. Step 6: Final answer
    x = 40,984.84

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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.