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Finding the Fourth Proportional to 51,752.94, 77,604.84 and 23,664.66

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Solution

The fourth proportional to 51,752.94, 77,604.84 and 23,664.66 is: 35,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,752.94 : 77,604.84 = 23,664.66 : x
  2. Step 2: Convert to fraction form
    51,752.94/77,604.84 = 23,664.66/x
  3. Step 3: Cross multiply
    51,752.94x = 77,604.84 × 23,664.66
  4. Step 4: Simplify right side
    51,752.94x = 1,836,492,152.95
  5. Step 5: Solve for x
    x = 1,836,492,152.95/51,752.94
  6. Step 6: Final answer
    x = 35,485.76

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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.