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Finding the Fourth Proportional to 32,960.68, 49,147.01 and 29,297.32

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Solution

The fourth proportional to 32,960.68, 49,147.01 and 29,297.32 is: 43,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,960.68 : 49,147.01 = 29,297.32 : x
  2. Step 2: Convert to fraction form
    32,960.68/49,147.01 = 29,297.32/x
  3. Step 3: Cross multiply
    32,960.68x = 49,147.01 × 29,297.32
  4. Step 4: Simplify right side
    32,960.68x = 1,439,875,679.01
  5. Step 5: Solve for x
    x = 1,439,875,679.01/32,960.68
  6. Step 6: Final answer
    x = 43,684.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.