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Finding the Fourth Proportional to 37,748.90, 56,625.90 and 12,780.43

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Solution

The fourth proportional to 37,748.90, 56,625.90 and 12,780.43 is: 19,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,748.90 : 56,625.90 = 12,780.43 : x
  2. Step 2: Convert to fraction form
    37,748.90/56,625.90 = 12,780.43/x
  3. Step 3: Cross multiply
    37,748.90x = 56,625.90 × 12,780.43
  4. Step 4: Simplify right side
    37,748.90x = 723,703,209.57
  5. Step 5: Solve for x
    x = 723,703,209.57/37,748.90
  6. Step 6: Final answer
    x = 19,171.50

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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.