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Finding the Fourth Proportional to 37,762.50, 56,644.23 and 13,138.50

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Solution

The fourth proportional to 37,762.50, 56,644.23 and 13,138.50 is: 19,707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762.50 : 56,644.23 = 13,138.50 : x
  2. Step 2: Convert to fraction form
    37,762.50/56,644.23 = 13,138.50/x
  3. Step 3: Cross multiply
    37,762.50x = 56,644.23 × 13,138.50
  4. Step 4: Simplify right side
    37,762.50x = 744,220,215.86
  5. Step 5: Solve for x
    x = 744,220,215.86/37,762.50
  6. Step 6: Final answer
    x = 19,707.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.