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Finding the Fourth Proportional to 51,178.94, 70,620.57 and 29,668.58

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Solution

The fourth proportional to 51,178.94, 70,620.57 and 29,668.58 is: 40,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,178.94 : 70,620.57 = 29,668.58 : x
  2. Step 2: Convert to fraction form
    51,178.94/70,620.57 = 29,668.58/x
  3. Step 3: Cross multiply
    51,178.94x = 70,620.57 × 29,668.58
  4. Step 4: Simplify right side
    51,178.94x = 2,095,212,030.69
  5. Step 5: Solve for x
    x = 2,095,212,030.69/51,178.94
  6. Step 6: Final answer
    x = 40,938.95

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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.