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Finding the Fourth Proportional to 37,722.92, 56,578.30 and 12,762.50

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Solution

The fourth proportional to 37,722.92, 56,578.30 and 12,762.50 is: 19,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,722.92 : 56,578.30 = 12,762.50 : x
  2. Step 2: Convert to fraction form
    37,722.92/56,578.30 = 12,762.50/x
  3. Step 3: Cross multiply
    37,722.92x = 56,578.30 × 12,762.50
  4. Step 4: Simplify right side
    37,722.92x = 722,080,238.95
  5. Step 5: Solve for x
    x = 722,080,238.95/37,722.92
  6. Step 6: Final answer
    x = 19,141.69

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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.