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Finding the Fourth Proportional to 37,328.50, 51,515.76 and 24,755.68

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Solution

The fourth proportional to 37,328.50, 51,515.76 and 24,755.68 is: 34,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,328.50 : 51,515.76 = 24,755.68 : x
  2. Step 2: Convert to fraction form
    37,328.50/51,515.76 = 24,755.68/x
  3. Step 3: Cross multiply
    37,328.50x = 51,515.76 × 24,755.68
  4. Step 4: Simplify right side
    37,328.50x = 1,275,307,669.52
  5. Step 5: Solve for x
    x = 1,275,307,669.52/37,328.50
  6. Step 6: Final answer
    x = 34,164.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.