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Finding the Fourth Proportional to 29,872.04, 44,814.54 and 9,095

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Solution

The fourth proportional to 29,872.04, 44,814.54 and 9,095 is: 13,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,872.04 : 44,814.54 = 9,095 : x
  2. Step 2: Convert to fraction form
    29,872.04/44,814.54 = 9,095/x
  3. Step 3: Cross multiply
    29,872.04x = 44,814.54 × 9,095
  4. Step 4: Simplify right side
    29,872.04x = 407,588,241.30
  5. Step 5: Solve for x
    x = 407,588,241.30/29,872.04
  6. Step 6: Final answer
    x = 13,644.47

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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.