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Finding the Fourth Proportional to 32,868.76, 49,156.74 and 29,194.84

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Solution

The fourth proportional to 32,868.76, 49,156.74 and 29,194.84 is: 43,662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,868.76 : 49,156.74 = 29,194.84 : x
  2. Step 2: Convert to fraction form
    32,868.76/49,156.74 = 29,194.84/x
  3. Step 3: Cross multiply
    32,868.76x = 49,156.74 × 29,194.84
  4. Step 4: Simplify right side
    32,868.76x = 1,435,123,159.22
  5. Step 5: Solve for x
    x = 1,435,123,159.22/32,868.76
  6. Step 6: Final answer
    x = 43,662.22

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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.