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Finding the Fourth Proportional to 74,596.63, 111,780.06 and 34,591

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Solution

The fourth proportional to 74,596.63, 111,780.06 and 34,591 is: 51,833.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,596.63 : 111,780.06 = 34,591 : x
  2. Step 2: Convert to fraction form
    74,596.63/111,780.06 = 34,591/x
  3. Step 3: Cross multiply
    74,596.63x = 111,780.06 × 34,591
  4. Step 4: Simplify right side
    74,596.63x = 3,866,584,055.46
  5. Step 5: Solve for x
    x = 3,866,584,055.46/74,596.63
  6. Step 6: Final answer
    x = 51,833.23

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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.