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Finding the Fourth Proportional to 47,757.47, 71,636.14 and 12,697.13

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Solution

The fourth proportional to 47,757.47, 71,636.14 and 12,697.13 is: 19,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,757.47 : 71,636.14 = 12,697.13 : x
  2. Step 2: Convert to fraction form
    47,757.47/71,636.14 = 12,697.13/x
  3. Step 3: Cross multiply
    47,757.47x = 71,636.14 × 12,697.13
  4. Step 4: Simplify right side
    47,757.47x = 909,573,382.28
  5. Step 5: Solve for x
    x = 909,573,382.28/47,757.47
  6. Step 6: Final answer
    x = 19,045.68

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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.