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Finding the Fourth Proportional to 37,810.72, 56,711.22 and 12,849.76

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Solution

The fourth proportional to 37,810.72, 56,711.22 and 12,849.76 is: 19,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,810.72 : 56,711.22 = 12,849.76 : x
  2. Step 2: Convert to fraction form
    37,810.72/56,711.22 = 12,849.76/x
  3. Step 3: Cross multiply
    37,810.72x = 56,711.22 × 12,849.76
  4. Step 4: Simplify right side
    37,810.72x = 728,725,566.31
  5. Step 5: Solve for x
    x = 728,725,566.31/37,810.72
  6. Step 6: Final answer
    x = 19,272.99

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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.