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Finding the Fourth Proportional to 29,872.16, 44,814.72 and 9,095.12

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Solution

The fourth proportional to 29,872.16, 44,814.72 and 9,095.12 is: 13,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,872.16 : 44,814.72 = 9,095.12 : x
  2. Step 2: Convert to fraction form
    29,872.16/44,814.72 = 9,095.12/x
  3. Step 3: Cross multiply
    29,872.16x = 44,814.72 × 9,095.12
  4. Step 4: Simplify right side
    29,872.16x = 407,595,256.17
  5. Step 5: Solve for x
    x = 407,595,256.17/29,872.16
  6. Step 6: Final answer
    x = 13,644.65

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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.