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Finding the Fourth Proportional to 51,539.94, 77,295.69 and 18,255.69

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Solution

The fourth proportional to 51,539.94, 77,295.69 and 18,255.69 is: 27,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,539.94 : 77,295.69 = 18,255.69 : x
  2. Step 2: Convert to fraction form
    51,539.94/77,295.69 = 18,255.69/x
  3. Step 3: Cross multiply
    51,539.94x = 77,295.69 × 18,255.69
  4. Step 4: Simplify right side
    51,539.94x = 1,411,086,154.98
  5. Step 5: Solve for x
    x = 1,411,086,154.98/51,539.94
  6. Step 6: Final answer
    x = 27,378.50

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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.