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Finding the Fourth Proportional to 37,866, 56,806.30 and 17,089.50

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Solution

The fourth proportional to 37,866, 56,806.30 and 17,089.50 is: 25,637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,866 : 56,806.30 = 17,089.50 : x
  2. Step 2: Convert to fraction form
    37,866/56,806.30 = 17,089.50/x
  3. Step 3: Cross multiply
    37,866x = 56,806.30 × 17,089.50
  4. Step 4: Simplify right side
    37,866x = 970,791,263.85
  5. Step 5: Solve for x
    x = 970,791,263.85/37,866
  6. Step 6: Final answer
    x = 25,637.54

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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.