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Finding the Fourth Proportional to 37,897.62, 56,846.79 and 14,518.50

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Solution

The fourth proportional to 37,897.62, 56,846.79 and 14,518.50 is: 21,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,897.62 : 56,846.79 = 14,518.50 : x
  2. Step 2: Convert to fraction form
    37,897.62/56,846.79 = 14,518.50/x
  3. Step 3: Cross multiply
    37,897.62x = 56,846.79 × 14,518.50
  4. Step 4: Simplify right side
    37,897.62x = 825,330,120.62
  5. Step 5: Solve for x
    x = 825,330,120.62/37,897.62
  6. Step 6: Final answer
    x = 21,777.89

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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.