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Finding the Fourth Proportional to 29,913.50, 44,868.62 and 9,135.38

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Solution

The fourth proportional to 29,913.50, 44,868.62 and 9,135.38 is: 13,702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,913.50 : 44,868.62 = 9,135.38 : x
  2. Step 2: Convert to fraction form
    29,913.50/44,868.62 = 9,135.38/x
  3. Step 3: Cross multiply
    29,913.50x = 44,868.62 × 9,135.38
  4. Step 4: Simplify right side
    29,913.50x = 409,891,692.27
  5. Step 5: Solve for x
    x = 409,891,692.27/29,913.50
  6. Step 6: Final answer
    x = 13,702.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.