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Finding the Fourth Proportional to 49,407.76, 74,072.76 and 35,357.50

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Solution

The fourth proportional to 49,407.76, 74,072.76 and 35,357.50 is: 53,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,407.76 : 74,072.76 = 35,357.50 : x
  2. Step 2: Convert to fraction form
    49,407.76/74,072.76 = 35,357.50/x
  3. Step 3: Cross multiply
    49,407.76x = 74,072.76 × 35,357.50
  4. Step 4: Simplify right side
    49,407.76x = 2,619,027,611.70
  5. Step 5: Solve for x
    x = 2,619,027,611.70/49,407.76
  6. Step 6: Final answer
    x = 53,008.43

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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.