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Finding the Fourth Proportional to 37,700.24, 56,511 and 12,731.68

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Solution

The fourth proportional to 37,700.24, 56,511 and 12,731.68 is: 19,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,700.24 : 56,511 = 12,731.68 : x
  2. Step 2: Convert to fraction form
    37,700.24/56,511 = 12,731.68/x
  3. Step 3: Cross multiply
    37,700.24x = 56,511 × 12,731.68
  4. Step 4: Simplify right side
    37,700.24x = 719,479,968.48
  5. Step 5: Solve for x
    x = 719,479,968.48/37,700.24
  6. Step 6: Final answer
    x = 19,084.23

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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.