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Finding the Fourth Proportional to 29,728.09, 44,598.71 and 10,006

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Solution

The fourth proportional to 29,728.09, 44,598.71 and 10,006 is: 15,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,728.09 : 44,598.71 = 10,006 : x
  2. Step 2: Convert to fraction form
    29,728.09/44,598.71 = 10,006/x
  3. Step 3: Cross multiply
    29,728.09x = 44,598.71 × 10,006
  4. Step 4: Simplify right side
    29,728.09x = 446,254,692.26
  5. Step 5: Solve for x
    x = 446,254,692.26/29,728.09
  6. Step 6: Final answer
    x = 15,011.21

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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.