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Finding the Fourth Proportional to 91,880.49, 137,733.24 and 29,507.25

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Solution

The fourth proportional to 91,880.49, 137,733.24 and 29,507.25 is: 44,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,880.49 : 137,733.24 = 29,507.25 : x
  2. Step 2: Convert to fraction form
    91,880.49/137,733.24 = 29,507.25/x
  3. Step 3: Cross multiply
    91,880.49x = 137,733.24 × 29,507.25
  4. Step 4: Simplify right side
    91,880.49x = 4,064,129,145.99
  5. Step 5: Solve for x
    x = 4,064,129,145.99/91,880.49
  6. Step 6: Final answer
    x = 44,232.78

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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.