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Finding the Fourth Proportional to 29,441.90, 44,156.58 and 9,715.82

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Solution

The fourth proportional to 29,441.90, 44,156.58 and 9,715.82 is: 14,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,441.90 : 44,156.58 = 9,715.82 : x
  2. Step 2: Convert to fraction form
    29,441.90/44,156.58 = 9,715.82/x
  3. Step 3: Cross multiply
    29,441.90x = 44,156.58 × 9,715.82
  4. Step 4: Simplify right side
    29,441.90x = 429,017,383.10
  5. Step 5: Solve for x
    x = 429,017,383.10/29,441.90
  6. Step 6: Final answer
    x = 14,571.66

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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.